Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1001	Simplify the Matrix	3[[1,2],[-2,1]]-4[[-4],[4]]	$3 [\begin{array}{c} 1 & 2 \\ - 2 & 1 \end{array}] - 4 [\begin{array}{c} - 4 \\ 4 \end{array}]$
1002	Simplify the Matrix	3[[1,3],[4,2]]-[[3,3],[4,4]]	$3 [\begin{array}{c} 1 & 3 \\ 4 & 2 \end{array}] - [\begin{array}{c} 3 & 3 \\ 4 & 4 \end{array}]$
1003	Simplify the Matrix	3[[-2,-1],[1,0],[3,-4]]-2[[0,3],[2,0],[-4,-1]]	$3 [\begin{array}{c} - 2 & - 1 \\ 1 & 0 \\ 3 & - 4 \end{array}] - 2 [\begin{array}{c} 0 & 3 \\ 2 & 0 \\ - 4 & - 1 \end{array}]$
1004	Simplify the Matrix	3[[3,4],[6,-2]]+2[[2,-4],[-1,5]]	$3 [\begin{array}{c} 3 & 4 \\ 6 & - 2 \end{array}] + 2 [\begin{array}{c} 2 & - 4 \\ - 1 & 5 \end{array}]$
1005	Simplify the Matrix	3[[4],[3],[-1]]+4[[9],[2],[4]]	$3 [\begin{array}{c} 4 \\ 3 \\ - 1 \end{array}] + 4 [\begin{array}{c} 9 \\ 2 \\ 4 \end{array}]$
1006	Simplify the Matrix	-3[[5,-2,9],[13,9,9],[10,12,12]]	$- 3 [\begin{array}{c} 5 & - 2 & 9 \\ 13 & 9 & 9 \\ 10 & 12 & 12 \end{array}]$
1007	Simplify the Matrix	3[[-6,-1,-3,-6,-1,9],[2,-1,4,3,-7,1],[0,2,-7,-9,6,-7],[-3,2,-6,-11,-6,0],[-7,-1,5,-5,13,-4],[1,-5,-9,6,-1,5]]	$3 [\begin{array}{c} - 6 & - 1 & - 3 & - 6 & - 1 & 9 \\ 2 & - 1 & 4 & 3 & - 7 & 1 \\ 0 & 2 & - 7 & - 9 & 6 & - 7 \\ - 3 & 2 & - 6 & - 11 & - 6 & 0 \\ - 7 & - 1 & 5 & - 5 & 13 & - 4 \\ 1 & - 5 & - 9 & 6 & - 1 & 5 \end{array}]$
1008	Simplify the Matrix	4[[-1,2],[1,-2]]	$4 [\begin{array}{c} - 1 & 2 \\ 1 & - 2 \end{array}]$
1009	Simplify the Matrix	4[[3,-6],[-1,8],[-3,3]]+5[[8,-1],[-3,-3],[-2,-3]]	$4 [\begin{array}{c} 3 & - 6 \\ - 1 & 8 \\ - 3 & 3 \end{array}] + 5 [\begin{array}{c} 8 & - 1 \\ - 3 & - 3 \\ - 2 & - 3 \end{array}]$
1010	Simplify the Matrix	5*[[1,-1],[0,3]]	$5 \cdot [\begin{array}{c} 1 & - 1 \\ 0 & 3 \end{array}]$
1011	Simplify the Matrix	5A=[[5,1],[32,6]]	$5 A = [\begin{array}{c} 5 & 1 \\ 32 & 6 \end{array}]$
1012	Simplify the Matrix	5[[-3,9,9],[1,11,3],[-11,-4,-3]]	$5 [\begin{array}{c} - 3 & 9 & 9 \\ 1 & 11 & 3 \\ - 11 & - 4 & - 3 \end{array}]$
1013	Simplify the Matrix	-5[[4],[3],[-1]]	$- 5 [\begin{array}{c} 4 \\ 3 \\ - 1 \end{array}]$
1014	Simplify the Matrix	-6[[1],[1],[3]]+9[[-3],[4],[-6]]-15[[2],[-2],[6]]	$- 6 [\begin{array}{c} 1 \\ 1 \\ 3 \end{array}] + 9 [\begin{array}{c} - 3 \\ 4 \\ - 6 \end{array}] - 15 [\begin{array}{c} 2 \\ - 2 \\ 6 \end{array}]$
1015	Simplify the Matrix	-8[[9,-6],[-4,0]]	$- 8 [\begin{array}{c} 9 & - 6 \\ - 4 & 0 \end{array}]$
1016	Simplify the Matrix	-9[[-20,-15,4,-1],[1,14,13,9],[20,5,6,-11],[8,-2,-7,10]]	$- 9 [\begin{array}{c} - 20 & - 15 & 4 & - 1 \\ 1 & 14 & 13 & 9 \\ 20 & 5 & 6 & - 11 \\ 8 & - 2 & - 7 & 10 \end{array}]$
1017	Simplify the Matrix	a=[[1,-2,4],[2,-5,12],[0,2,-10]]	$a = [\begin{array}{c} 1 & - 2 & 4 \\ 2 & - 5 & 12 \\ 0 & 2 & - 10 \end{array}]$
1018	Simplify the Matrix	A=[[1,2],[1,3]]	$A = [\begin{array}{c} 1 & 2 \\ 1 & 3 \end{array}]$
1019	Simplify the Matrix	det [[12,13,14],[11,12,13],[9,6,3]]	det $[\begin{array}{c} 12 & 13 & 14 \\ 11 & 12 & 13 \\ 9 & 6 & 3 \end{array}]$
1020	Simplify the Matrix	i[[-8,9],[6,-9]]-j[[8,9],[65,-14]]+k[[-9,5],[-3,-8]]	$i [\begin{array}{c} - 8 & 9 \\ 6 & - 9 \end{array}] - j [\begin{array}{c} 8 & 9 \\ 65 & - 14 \end{array}] + k [\begin{array}{c} - 9 & 5 \\ - 3 & - 8 \end{array}]$
1021	Simplify the Matrix	M=[[1,-4],[2,-7]]	$M = [\begin{array}{c} 1 & - 4 \\ 2 & - 7 \end{array}]$
1022	Simplify the Matrix	(681,1660) , (773,1720) , (818,1750) , (783,1755) , (809,1770) , (891,1825) , (803,1745)	$[\begin{array}{c} (681, 1660) & (773, 1720) & (818, 1750) & (783, 1755) & (809, 1770) & (891, 1825) & (803, 1745) \end{array}]$
1023	Simplify the Matrix	[[(-3 square root of 5)/25,(14 square root of 5)/25],[(-2 square root of 205)/25,( square root of 205)/25]][[0,2],[2,3]][[1/( square root of 5),-14/( square root of 205)],[2/( square root of 5),-3/( square root of 205)]]	$[\begin{array}{c} \frac{- 3 \sqrt{5}}{25} & \frac{14 \sqrt{5}}{25} \\ \frac{- 2 \sqrt{205}}{25} & \frac{\sqrt{205}}{25} \end{array}] [\begin{array}{c} 0 & 2 \\ 2 & 3 \end{array}] [\begin{array}{c} \frac{1}{\sqrt{5}} & - \frac{14}{\sqrt{205}} \\ \frac{2}{\sqrt{5}} & - \frac{3}{\sqrt{205}} \end{array}]$
1024	Simplify the Matrix	[[-( square root of 2)/2,-( square root of 2)/2,(4( square root of 3))/3],[( square root of 2)/2,0,(4( square root of 3))/3],[0,( square root of 2)/2,(4( square root of 3))/3]][[-1/( square root of 2),1/( square root of 2),0],[-1/( square root of 2),0,1/( square root of 2)],[1/( square root of 3),1/( square root of 3),1/( square root of 3)]]	$[\begin{array}{c} - \frac{\sqrt{2}}{2} & - \frac{\sqrt{2}}{2} & \frac{4 (\sqrt{3})}{3} \\ \frac{\sqrt{2}}{2} & 0 & \frac{4 (\sqrt{3})}{3} \\ 0 & \frac{\sqrt{2}}{2} & \frac{4 (\sqrt{3})}{3} \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$
1025	Simplify the Matrix	[[-1/( square root of 2),-0.5/(2/( square root of 1.5)),1/( square root of 3)],[1/( square root of 2),-0.5/(2/( square root of 1.5)),1/( square root of 3)],[0,1/( square root of 1.5),1/( square root of 3)]][[1,0,0],[0,1,0],[0,0,4]][[-1/( square root of 2),1/( square root of 2),0],[-0.5/(2/( square root of 1.5)),-0.5/(2/( square root of 1.5)),1/( square root of 1.5)],[1/( square root of 3),1/( square root of 3),1/( square root of 3)]]	$[\begin{array}{c} - \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{1.5}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & - \frac{0.5}{\frac{2}{\sqrt{1.5}}} & \frac{1}{\sqrt{1.5}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$
1026	Simplify the Matrix	[[-1/( square root of 2),-1/( square root of 2),1/( square root of 3)],[1/( square root of 2),0,1/( square root of 3)],[0,1/( square root of 2),1/( square root of 3)]][[1,0,0],[0,1,0],[0,0,4]][[-1/( square root of 2),1/( square root of 2),0],[-1/( square root of 2),0,1/( square root of 2)],[1/( square root of 3),1/( square root of 3),1/( square root of 3)]]	$[\begin{array}{c} - \frac{1}{\sqrt{2}} & - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \\ \frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{3}} \\ 0 & \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 4 \end{array}] [\begin{array}{c} - \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} & 0 \\ - \frac{1}{\sqrt{2}} & 0 & \frac{1}{\sqrt{2}} \\ \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{3}} \end{array}]$
1027	Simplify the Matrix	[[-1/2,1/2],[1/2,1/2]][[0,1],[1,0]][[-1,1],[1,1]]	$[\begin{array}{c} - \frac{1}{2} & \frac{1}{2} \\ \frac{1}{2} & \frac{1}{2} \end{array}] \cdot [\begin{array}{c} 0 & 1 \\ 1 & 0 \end{array}] \cdot [\begin{array}{c} - 1 & 1 \\ 1 & 1 \end{array}]$
1028	Simplify the Matrix	[[-1/2,1/2],[1/2,1/2]][[4,1],[1,4]][[-1,1],[1,1]]	$[\begin{array}{c} - \frac{1}{2} & \frac{1}{2} \\ \frac{1}{2} & \frac{1}{2} \end{array}] \cdot [\begin{array}{c} 4 & 1 \\ 1 & 4 \end{array}] \cdot [\begin{array}{c} - 1 & 1 \\ 1 & 1 \end{array}]$
1029	Simplify the Matrix	[[1/2,1/2],[1/2,1/2]][[4,1],[4,1]][[1,-1],[1,1]]	$[\begin{array}{c} \frac{1}{2} & \frac{1}{2} \\ \frac{1}{2} & \frac{1}{2} \end{array}] \cdot [\begin{array}{c} 4 & 1 \\ 4 & 1 \end{array}] \cdot [\begin{array}{c} 1 & - 1 \\ 1 & 1 \end{array}]$
1030	Simplify the Matrix	[[1/2,-1/2],[-1/2,3/2]][[1,3],[-1,5]][[3,1],[1,1]]	$[\begin{array}{c} \frac{1}{2} & - \frac{1}{2} \\ - \frac{1}{2} & \frac{3}{2} \end{array}] [\begin{array}{c} 1 & 3 \\ - 1 & 5 \end{array}] [\begin{array}{c} 3 & 1 \\ 1 & 1 \end{array}]$
1031	Simplify the Matrix	[[1/4,-1/2],[-1/4,-1/2]][[3,4],[1,3]][[2,-2],[1,1]]	$[\begin{array}{c} \frac{1}{4} & - \frac{1}{2} \\ - \frac{1}{4} & - \frac{1}{2} \end{array}] \cdot [\begin{array}{c} 3 & 4 \\ 1 & 3 \end{array}] \cdot [\begin{array}{c} 2 & - 2 \\ 1 & 1 \end{array}]$
1032	Simplify the Matrix	[[1,5],[2,9^-1]]	$[\begin{array}{c} 1 & 5 \\ 2 & 9^{- 1} \end{array}]$
1033	Simplify the Matrix	[[17/26,17/26,17/26],[17/26,12/26,17/26],[17/26,17/26,16/26]]	$[\begin{array}{c} \frac{17}{26} & \frac{17}{26} & \frac{17}{26} \\ \frac{17}{26} & \frac{12}{26} & \frac{17}{26} \\ \frac{17}{26} & \frac{17}{26} & \frac{16}{26} \end{array}]$
1034	Simplify the Matrix	[[3/7,1/7],[-3/7,6/7]][[1,-2],[-3,6]][[2,-1/3],[1,1]]	$[\begin{array}{c} \frac{3}{7} & \frac{1}{7} \\ - \frac{3}{7} & \frac{6}{7} \end{array}] [\begin{array}{c} 1 & - 2 \\ - 3 & 6 \end{array}] [\begin{array}{c} 2 & - \frac{1}{3} \\ 1 & 1 \end{array}]$
1035	Simplify the Matrix	[[31/6,-73/18,-16/9],[-73/18,91/18,16/9],[-16/9,16/9,2]]	$[\begin{array}{c} \frac{31}{6} & - \frac{73}{18} & - \frac{16}{9} \\ - \frac{73}{18} & \frac{91}{18} & \frac{16}{9} \\ - \frac{16}{9} & \frac{16}{9} & 2 \end{array}]$
1036	Simplify the Matrix	[[0,0.3],[0.25,0.4]][[3],[6]]	$[\begin{array}{c} 0 & 0.3 \\ 0.25 & 0.4 \end{array}] [\begin{array}{c} 3 \\ 6 \end{array}]$
1037	Simplify the Matrix	[[0,1/2],[1,1/2]][[0,2],[2,-3]][[-1,1],[2,0]]	$[\begin{array}{c} 0 & \frac{1}{2} \\ 1 & \frac{1}{2} \end{array}] [\begin{array}{c} 0 & 2 \\ 2 & - 3 \end{array}] [\begin{array}{c} - 1 & 1 \\ 2 & 0 \end{array}]$
1038	Simplify the Matrix	[[0,0],[1,0]][[1,-5],[3,2]]	$[\begin{array}{c} 0 & 0 \\ 1 & 0 \end{array}] [\begin{array}{c} 1 & - 5 \\ 3 & 2 \end{array}]$
1039	Simplify the Matrix	[[0,1,0],[1,-1,1],[-1,1,1]][[0,0,0],[0,18,0],[0,0,-18]][[1,1/2,-1/2],[1,0,0],[0,1/2,1/2]]	$[\begin{array}{c} 0 & 1 & 0 \\ 1 & - 1 & 1 \\ - 1 & 1 & 1 \end{array}] [\begin{array}{c} 0 & 0 & 0 \\ 0 & 18 & 0 \\ 0 & 0 & - 18 \end{array}] [\begin{array}{c} 1 & \frac{1}{2} & - \frac{1}{2} \\ 1 & 0 & 0 \\ 0 & \frac{1}{2} & \frac{1}{2} \end{array}]$
1040	Simplify the Matrix	[[0,-1,-1],[-1,0,-7/2],[1,1,1]][[3,0,0],[0,-17,0],[0,0,18]][[1,0,1],[-5/7,2/7,2/2],[-2/7,-2/7,-2/7]]	$[\begin{array}{c} 0 & - 1 & - 1 \\ - 1 & 0 & - \frac{7}{2} \\ 1 & 1 & 1 \end{array}] [\begin{array}{c} 3 & 0 & 0 \\ 0 & - 17 & 0 \\ 0 & 0 & 18 \end{array}] [\begin{array}{c} 1 & 0 & 1 \\ - \frac{5}{7} & \frac{2}{7} & \frac{2}{2} \\ - \frac{2}{7} & - \frac{2}{7} & - \frac{2}{7} \end{array}]$
1041	Simplify the Matrix	[[0,1,2,3],[1,1,0,0],[0,1,1,1],[1,0,0,0]]	$[\begin{array}{c} 0 & 1 & 2 & 3 \\ 1 & 1 & 0 & 0 \\ 0 & 1 & 1 & 1 \\ 1 & 0 & 0 & 0 \end{array}]$
1042	Simplify the Matrix	[[0,1,6],[1,3,3],[3,8,3]]	$[\begin{array}{c} 0 & 1 & 6 \\ 1 & 3 & 3 \\ 3 & 8 & 3 \end{array}]$
1043	Simplify the Matrix	[[0,1,8],[1,2,0]]*[[1,2,0],[4,0,2]]	$[\begin{array}{c} 0 & 1 & 8 \\ 1 & 2 & 0 \end{array}] \cdot [\begin{array}{c} 1 & 2 & 0 \\ 4 & 0 & 2 \end{array}]$
1044	Simplify the Matrix	[[0,1],[0,0]][[1,-5],[3,2]]	$[\begin{array}{c} 0 & 1 \\ 0 & 0 \end{array}] [\begin{array}{c} 1 & - 5 \\ 3 & 2 \end{array}]$
1045	Simplify the Matrix	[[0,-1],[-1,0]]	$[\begin{array}{c} 0 & - 1 \\ - 1 & 0 \end{array}]$
1046	Simplify the Matrix	[[0,1],[1,0]][[2],[-1]]	$[\begin{array}{c} 0 & 1 \\ 1 & 0 \end{array}] [\begin{array}{c} 2 \\ - 1 \end{array}]$
1047	Simplify the Matrix	[[0,2],[0,5]]*[[5,0],[2,0]]	$[\begin{array}{c} 0 & 2 \\ 0 & 5 \end{array}] \cdot [\begin{array}{c} 5 & 0 \\ 2 & 0 \end{array}]$
1048	Simplify the Matrix	[[0,-2],[2,1],[-2,6],[6,0]]-[[1,-1],[1,1],[1,1],[1,1]]	$[\begin{array}{c} 0 & - 2 \\ 2 & 1 \\ - 2 & 6 \\ 6 & 0 \end{array}] - [\begin{array}{c} 1 & - 1 \\ 1 & 1 \\ 1 & 1 \\ 1 & 1 \end{array}]$
1049	Simplify the Matrix	[[0,-2i,-3]][[2i,0,4],[0,i,5-i],[-4,-5-i,4i]][[0],[2i],[-3]]	$[\begin{array}{c} 0 & - 2 i & - 3 \end{array}] \cdot [\begin{array}{c} 2 i & 0 & 4 \\ 0 & i & 5 - i \\ - 4 & - 5 - i & 4 i \end{array}] \cdot [\begin{array}{c} 0 \\ 2 i \\ - 3 \end{array}]$
1050	Simplify the Matrix	[[0,3,-1,1],[1,5,-1,-4],[-3,6,2,11]]	$[\begin{array}{c} 0 & 3 & - 1 & 1 \\ 1 & 5 & - 1 & - 4 \\ - 3 & 6 & 2 & 11 \end{array}]$
1051	Simplify the Matrix	[[0,4.5],[100,4.2],[200,3.9]]	$[\begin{array}{c} 0 & 4.5 \\ 100 & 4.2 \\ 200 & 3.9 \end{array}]$
1052	Simplify the Matrix	[[0,-5,1],[1,4,-1],[0,1,0]][[-1,7,-1],[0,1,0],[0,15,2]][[1,1,1],[0,0,1],[0,1,5]]	$[\begin{array}{c} 0 & - 5 & 1 \\ 1 & 4 & - 1 \\ 0 & 1 & 0 \end{array}] [\begin{array}{c} - 1 & 7 & - 1 \\ 0 & 1 & 0 \\ 0 & 15 & 2 \end{array}] [\begin{array}{c} 1 & 1 & 1 \\ 0 & 0 & 1 \\ 0 & 1 & 5 \end{array}]$
1053	Simplify the Matrix	[[0,5,3],[-2,6,-8]]+[[-2,3,5],[7,-9,6]]	$[\begin{array}{c} 0 & 5 & 3 \\ - 2 & 6 & - 8 \end{array}] + [\begin{array}{c} - 2 & 3 & 5 \\ 7 & - 9 & 6 \end{array}]$
1054	Simplify the Matrix	[[0,5],[1,1]][[1,4],[1,-2]][[-1/5,1],[1/5,0]]	$[\begin{array}{c} 0 & 5 \\ 1 & 1 \end{array}] [\begin{array}{c} 1 & 4 \\ 1 & - 2 \end{array}] [\begin{array}{c} - \frac{1}{5} & 1 \\ \frac{1}{5} & 0 \end{array}]$
1055	Simplify the Matrix	[[0,5],[6,7],[12,9],[15,10]]	$[\begin{array}{c} 0 & 5 \\ 6 & 7 \\ 12 & 9 \\ 15 & 10 \end{array}]$
1056	Simplify the Matrix	[[0,9,3],[5,6,1],[3,8,4]][[1,4,4],[8,9,3],[1,-2,6]]	$[\begin{array}{c} 0 & 9 & 3 \\ 5 & 6 & 1 \\ 3 & 8 & 4 \end{array}] [\begin{array}{c} 1 & 4 & 4 \\ 8 & 9 & 3 \\ 1 & - 2 & 6 \end{array}]$
1057	Simplify the Matrix	[[0.06(49),-0.0149,0.07(49)],[-0.09-3,0.15(-3),0.08(-3)],[0.03(96),0.28(96),0.02(96)]]	$[\begin{array}{c} 0.06 (49) & - 0.01 \cdot 49 & 0.07 (49) \\ - 0.09 \cdot - 3 & 0.15 (- 3) & 0.08 (- 3) \\ 0.03 (96) & 0.28 (96) & 0.02 (96) \end{array}]$
1058	Simplify the Matrix	[[0.2672612],[0.8017837],[0.5345224]]	$[\begin{array}{c} 0.2672612 \\ 0.8017837 \\ 0.5345224 \end{array}]$
1059	Simplify the Matrix	[[2,44,4],[4,4,1]]	$[\begin{array}{c} 2 & 44 & 4 \\ 4 & 4 & 1 \end{array}]$
1060	Simplify the Matrix	[[0-24],[25-49],[50-74],[75-99],[100-124],[1245-149]][[4],[3],[6],[3],[5],[9]]	$[\begin{array}{c} 0 - 24 \\ 25 - 49 \\ 50 - 74 \\ 75 - 99 \\ 100 - 124 \\ 1245 - 149 \end{array}] [\begin{array}{c} 4 \\ 3 \\ 6 \\ 3 \\ 5 \\ 9 \end{array}]$
1061	Simplify the Matrix	[[1,0.7,0.3,0],[-0.3,0.8,-0.5,0],[-0.15,-0.3,0.45,0]]	$[\begin{array}{c} 1 & 0.7 & 0.3 & 0 \\ - 0.3 & 0.8 & - 0.5 & 0 \\ - 0.15 & - 0.3 & 0.45 & 0 \end{array}]$
1062	Simplify the Matrix	[[1,0,0,0],[0,1,1,0],[0,1,1,0],[0,0,0,1]]*1	$[\begin{array}{c} 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 0 \\ 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 1 \end{array}] \cdot 1$
1063	Simplify the Matrix	[[1,0,0,3],[0,1,0,-1],[0,0,1,2],[0,0,0,0]]	$[\begin{array}{c} 1 & 0 & 0 & 3 \\ 0 & 1 & 0 & - 1 \\ 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 0 \end{array}]$
1064	Simplify the Matrix	[[1,0,0,5],[3,1,0,25/3],[0,3,0,20]]	$[\begin{array}{c} 1 & 0 & 0 & 5 \\ 3 & 1 & 0 & \frac{25}{3} \\ 0 & 3 & 0 & 20 \end{array}]$
1065	Simplify the Matrix	[[1,0,0],[0,1,1],[0,10,1]][[-1,1,1],[-1,1,-1],[0,-1,0]]	$[\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & 10 & 1 \end{array}] [\begin{array}{c} - 1 & 1 & 1 \\ - 1 & 1 & - 1 \\ 0 & - 1 & 0 \end{array}]$
1066	Simplify the Matrix	[[1,0,0],[0,1,3],[0,0,1]][[1,0,-8],[0,1,0],[0,0,1]][[1,0,0],[0,1,0],[0,-1,1]][[1,-2,0],[0,1,0],[0,0,1]][[1,0,0],[0,1/2,0],[0,0,1]][[1,0,0],[0,1,0],[2,0,1]][[1,0,0],[-3,1,0],[0,0,1]]	$[\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 3 \\ 0 & 0 & 1 \end{array}] [\begin{array}{c} 1 & 0 & - 8 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & - 1 & 1 \end{array}] [\begin{array}{c} 1 & - 2 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 2 & 0 & 1 \end{array}] [\begin{array}{c} 1 & 0 & 0 \\ - 3 & 1 & 0 \\ 0 & 0 & 1 \end{array}]$
1067	Simplify the Matrix	[[1,0,0],[0,r-2,2],[0,s-5,r+2],[0,0,3]]	$[\begin{array}{c} 1 & 0 & 0 \\ 0 & r - 2 & 2 \\ 0 & s - 5 & r + 2 \\ 0 & 0 & 3 \end{array}]$
1068	Simplify the Matrix	[[1,0,0],[0,r-6,6],[0,s-5,r+6],[0,0,7]]	$[\begin{array}{c} 1 & 0 & 0 \\ 0 & r - 6 & 6 \\ 0 & s - 5 & r + 6 \\ 0 & 0 & 7 \end{array}]$
1069	Simplify the Matrix	[[1,0,1,0],[1,1,1,1],[2,-1,2,-1]]	$[\begin{array}{c} 1 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 \\ 2 & - 1 & 2 & - 1 \end{array}]$
1070	Simplify the Matrix	[[1,0,1,2],[0,1,5,2],[0,0,0,0]]	$[\begin{array}{c} 1 & 0 & 1 & 2 \\ 0 & 1 & 5 & 2 \\ 0 & 0 & 0 & 0 \end{array}]$
1071	Simplify the Matrix	[[1,0,1],[0,1,1],[0,0,1]][[1,1,2],[1,2,3],[3,4,7]][[1,1,0],[1,2,0],[3,4,1]]	$[\begin{array}{c} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{array}] [\begin{array}{c} 1 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 4 & 7 \end{array}] [\begin{array}{c} 1 & 1 & 0 \\ 1 & 2 & 0 \\ 3 & 4 & 1 \end{array}]$
1072	Simplify the Matrix	[[-1,0,-1],[0,1,-1],[1,0,2]]*[[0,0,-2],[1,2,1],[1,0,3]]	$[\begin{array}{c} - 1 & 0 & - 1 \\ 0 & 1 & - 1 \\ 1 & 0 & 2 \end{array}] \cdot [\begin{array}{c} 0 & 0 & - 2 \\ 1 & 2 & 1 \\ 1 & 0 & 3 \end{array}]$
1073	Simplify the Matrix	[[1,0,1],[1,2,2],[0,3,3]][[0],[0],[0]]	$[\begin{array}{c} 1 & 0 & 1 \\ 1 & 2 & 2 \\ 0 & 3 & 3 \end{array}] [\begin{array}{c} 0 \\ 0 \\ 0 \end{array}]$
1074	Simplify the Matrix	[[-1,0,1],[2,2,2]]	$[\begin{array}{c} - 1 & 0 & 1 \\ 2 & 2 & 2 \end{array}]$
1075	Simplify the Matrix	[[1,0,3,2],[0,0,0,0],[0,1,5,2]]	$[\begin{array}{c} 1 & 0 & 3 & 2 \\ 0 & 0 & 0 & 0 \\ 0 & 1 & 5 & 2 \end{array}]$
1076	Simplify the Matrix	[[1,0,4,1],[0,1,4,1]]	$[\begin{array}{c} 1 & 0 & 4 & 1 \\ 0 & 1 & 4 & 1 \end{array}]$
1077	Simplify the Matrix	[[-1,0,4],[5,-2,0]]*[[2,-1],[3,6]]	$[\begin{array}{c} - 1 & 0 & 4 \\ 5 & - 2 & 0 \end{array}] \cdot [\begin{array}{c} 2 & - 1 \\ 3 & 6 \end{array}]$
1078	Simplify the Matrix	[[1,0,8,0,-9],[0,1,7,0,9],[0,0,0,1,7],[0,0,0,0,-9]]	$[\begin{array}{c} 1 & 0 & 8 & 0 & - 9 \\ 0 & 1 & 7 & 0 & 9 \\ 0 & 0 & 0 & 1 & 7 \\ 0 & 0 & 0 & 0 & - 9 \end{array}]$
1079	Simplify the Matrix	[[1,0],[0,0]][[1/2,-( square root of 3)/2],[( square root of 3)/2,1/2]][[a],[b]]	$[\begin{array}{c} 1 & 0 \\ 0 & 0 \end{array}] [\begin{array}{c} \frac{1}{2} & - \frac{\sqrt{3}}{2} \\ \frac{\sqrt{3}}{2} & \frac{1}{2} \end{array}] [\begin{array}{c} a \\ b \end{array}]$
1080	Simplify the Matrix	[[-1,0],[0,-1]][[x],[y]]	$[\begin{array}{c} - 1 & 0 \\ 0 & - 1 \end{array}] [\begin{array}{c} x \\ y \end{array}]$
1081	Simplify the Matrix	[[1,0],[0,4]][[5,2,-1],[2,-1,2]]	$[\begin{array}{c} 1 & 0 \\ 0 & 4 \end{array}] [\begin{array}{c} 5 & 2 & - 1 \\ 2 & - 1 & 2 \end{array}]$
1082	Simplify the Matrix	[[1,0],[-1,-1]]-[[1,1],[-1,-1]]	$[\begin{array}{c} 1 & 0 \\ - 1 & - 1 \end{array}] - [\begin{array}{c} 1 & 1 \\ - 1 & - 1 \end{array}]$
1083	Simplify the Matrix	[[1,0],[5,1]]-[[1,1],[1,1]]	$[\begin{array}{c} 1 & 0 \\ 5 & 1 \end{array}] - [\begin{array}{c} 1 & 1 \\ 1 & 1 \end{array}]$
1084	Simplify the Matrix	[[1,1,1/(a^2+b^2-2ab)],[0,0,-1/(a-b)],[0,0,1]]	$[\begin{array}{c} 1 & 1 & \frac{1}{a^{2} + b^{2} - 2 a b} \\ 0 & 0 & - \frac{1}{a - b} \\ 0 & 0 & 1 \end{array}]$
1085	Simplify the Matrix	[[1,-1,0],[0,1,0],[0,0,1]][[0,1,0],[1,0,0],[0,0,1]][[1,0,0],[0,1,0],[0,0,-2]]	$[\begin{array}{c} 1 & - 1 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array}] \cdot [\begin{array}{c} 0 & 1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1 \end{array}] \cdot [\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & - 2 \end{array}]$
1086	Simplify the Matrix	[[-1,1,0],[-1,1,0],[1,0,0]]*[[-1,1,0],[-1,1,0],[1,0,0]]	$[\begin{array}{c} - 1 & 1 & 0 \\ - 1 & 1 & 0 \\ 1 & 0 & 0 \end{array}] \cdot [\begin{array}{c} - 1 & 1 & 0 \\ - 1 & 1 & 0 \\ 1 & 0 & 0 \end{array}]$
1087	Simplify the Matrix	[[1,-1,0],[2,2,1],[0,16,-1]]	$[\begin{array}{c} 1 & - 1 & 0 \\ 2 & 2 & 1 \\ 0 & 16 & - 1 \end{array}]$
1088	Find the Variables	[[a+8,5z+1,5m],[5k,4,4]]+[[6a,8z,8m],[6k,5,5]]=[[36,-12,78],[11,9,9]]	$[\begin{array}{c} a + 8 & 5 z + 1 & 5 m \\ 5 k & 4 & 4 \end{array}] + [\begin{array}{c} 6 a & 8 z & 8 m \\ 6 k & 5 & 5 \end{array}] = [\begin{array}{c} 36 & - 12 & 78 \\ 11 & 9 & 9 \end{array}]$
1089	Find the Variables	[[a+b,c+d],[c-d,a-b]]=[[4,6],[10,2]]	$[\begin{array}{c} a + b & c + d \\ c - d & a - b \end{array}] = [\begin{array}{c} 4 & 6 \\ 10 & 2 \end{array}]$
1090	Find the Variables	[[a-b,b+c],[3d+c,2a-4d]]=[[13,2],[12,10]]	$[\begin{array}{c} a - b & b + c \\ 3 d + c & 2 a - 4 d \end{array}] = [\begin{array}{c} 13 & 2 \\ 12 & 10 \end{array}]$
1091	Find the Variables	[[cos(3x),sin(3x)],[-sin(3x),cos(3x)]]*[[b],[d]]=[[0],[tan(3x)]]	$[\begin{array}{c} \cos (3 x) & \sin (3 x) \\ - \sin (3 x) & \cos (3 x) \end{array}] \cdot [\begin{array}{c} b \\ d \end{array}] = [\begin{array}{c} 0 \\ \tan (3 x) \end{array}]$
1092	Find the Variables	[[t+1,-8,4],[5,-6,-3]]=[[3,-8,4],[5,x-7,-3]]	$[\begin{array}{c} t + 1 & - 8 & 4 \\ 5 & - 6 & - 3 \end{array}] = [\begin{array}{c} 3 & - 8 & 4 \\ 5 & x - 7 & - 3 \end{array}]$
1093	Find the Variables	[[x,8],[6,y]]=[[0,8],[6,2]]	$[\begin{array}{c} x & 8 \\ 6 & y \end{array}] = [\begin{array}{c} 0 & 8 \\ 6 & 2 \end{array}]$
1094	Find the Variables	[[x,y,zx]]*4=[[12,24,36]]	$[\begin{array}{c} x & y & z x \end{array}] \cdot 4 = [\begin{array}{c} 12 & 24 & 36 \end{array}]$
1095	Find the Variables	[[x,y],[-y,x]]-[[y,x],[x,-y]]=[[-1,1],[-3,3]]	$[\begin{array}{c} x & y \\ - y & x \end{array}] - [\begin{array}{c} y & x \\ x & - y \end{array}] = [\begin{array}{c} - 1 & 1 \\ - 3 & 3 \end{array}]$
1096	Find the Variables	[[a],[b]]=[[4,2],[-2,1]][[-2],[2]]	$[\begin{array}{c} a \\ b \end{array}] = [\begin{array}{c} 4 & 2 \\ - 2 & 1 \end{array}] [\begin{array}{c} - 2 \\ 2 \end{array}]$
1097	Find the Variables	[[x+y,2z+w],[y-x,z-w]]=[[3,5],[1,4]]	$[\begin{array}{c} x + y & 2 z + w \\ y - x & z - w \end{array}] = [\begin{array}{c} 3 & 5 \\ 1 & 4 \end{array}]$
1098	Find the Variables	[[x+y,y+z],[z+w,w]]=[[3,5],[8,5]]	$[\begin{array}{c} x + y & y + z \\ z + w & w \end{array}] = [\begin{array}{c} 3 & 5 \\ 8 & 5 \end{array}]$
1099	Find the Variables	v=[[-2],[4]]+[[1],[8]]	$v = [\begin{array}{c} - 2 \\ 4 \end{array}] + [\begin{array}{c} 1 \\ 8 \end{array}]$
1100	Find the Variables	x[[2],[-3]]+y[[-4],[-2]]=[[-4],[-1]]	$x [\begin{array}{c} 2 \\ - 3 \end{array}] + y [\begin{array}{c} - 4 \\ - 2 \end{array}] = [\begin{array}{c} - 4 \\ - 1 \end{array}]$