Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
1101	Find the Variables	[[1,0,0],[1,-1,1],[1,2,4],[1,1,1]][[x],[y],[z]]=[[a],[b],[c],[d]]	$[\begin{array}{c} 1 & 0 & 0 \\ 1 & - 1 & 1 \\ 1 & 2 & 4 \\ 1 & 1 & 1 \end{array}] [\begin{array}{c} x \\ y \\ z \end{array}] = [\begin{array}{c} a \\ b \\ c \\ d \end{array}]$
1102	Find the Variables	[[1,1,0,0],[0,0,1,1],[1,0,1,0],[0,1,0,1]]*[[x],[y],[v],[z]]=[[110],[160],[140],[130]]	$[\begin{array}{c} 1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 1 \\ 1 & 0 & 1 & 0 \\ 0 & 1 & 0 & 1 \end{array}] \cdot [\begin{array}{c} x \\ y \\ v \\ z \end{array}] = [\begin{array}{c} 110 \\ 160 \\ 140 \\ 130 \end{array}]$
1103	Find the Variables	[[1,1,0],[1,4,3],[2,4,1]]X=[[2,-3,-2],[0,2,0],[4,1,1]]	$[\begin{array}{c} 1 & 1 & 0 \\ 1 & 4 & 3 \\ 2 & 4 & 1 \end{array}] X = [\begin{array}{c} 2 & - 3 & - 2 \\ 0 & 2 & 0 \\ 4 & 1 & 1 \end{array}]$
1104	Find the Variables	[[1,2],[-3,-6]]*[[x],[y]]=[[4],[-2]]	$[\begin{array}{c} 1 & 2 \\ - 3 & - 6 \end{array}] \cdot [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 4 \\ - 2 \end{array}]$
1105	Find the Variables	[[1.05,1.1],[1.05,0.9]]*[[x],[y]]=[[1],[1]]	$[\begin{array}{c} 1.05 & 1.1 \\ 1.05 & 0.9 \end{array}] \cdot [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 1 \\ 1 \end{array}]$
1106	Find the Variables	[[2,7],[5,3]]x=[[-3,8],[7,-9]]	$[\begin{array}{c} 2 & 7 \\ 5 & 3 \end{array}] x = [\begin{array}{c} - 3 & 8 \\ 7 & - 9 \end{array}]$
1107	Find the Variables	[[2],[4]]=[[a,vn],[1],[a,vn],[8]]	$[\begin{array}{c} 2 \\ 4 \end{array}] = [\begin{array}{c} a & v n \\ 1 \\ a & v n \\ 8 \end{array}]$
1108	Find the Variables	[[21],[-9]]=[[x],[y]]*([[0,1],[-3,1]][[x],[y]])	$[\begin{array}{c} 21 \\ - 9 \end{array}] = [\begin{array}{c} x \\ y \end{array}] \cdot ([\begin{array}{c} 0 & 1 \\ - 3 & 1 \end{array}] [\begin{array}{c} x \\ y \end{array}])$
1109	Find the Variables	[[-3,1,2],[4,2,-4],[0,1,3]]*[[x],[y],[z]]=[[5],[-4],[3]]	$[\begin{array}{c} - 3 & 1 & 2 \\ 4 & 2 & - 4 \\ 0 & 1 & 3 \end{array}] \cdot [\begin{array}{c} x \\ y \\ z \end{array}] = [\begin{array}{c} 5 \\ - 4 \\ 3 \end{array}]$
1110	Find the Variables	[[-3,-2,-1],[6,5,1],[-6,-2,2]][[a,b,c],[d,e,f],[g,h,i]]=[[a,b,c],[d,e,f],[g,h,i]][[5,0,0],[0,2,0],[0,0,3]]	$[\begin{array}{c} - 3 & - 2 & - 1 \\ 6 & 5 & 1 \\ - 6 & - 2 & 2 \end{array}] [\begin{array}{c} a & b & c \\ d & e & f \\ g & h & i \end{array}] = [\begin{array}{c} a & b & c \\ d & e & f \\ g & h & i \end{array}] [\begin{array}{c} 5 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 3 \end{array}]$
1111	Find the Variables	[[3,-4,0],[2,8,-1]]+B=[[0,0,0],[0,0,0]]	$[\begin{array}{c} 3 & - 4 & 0 \\ 2 & 8 & - 1 \end{array}] + B = [\begin{array}{c} 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}]$
1112	Find the Variables	[[3,5],[0,1]][[a],[b]]=[[8],[-5]]	$[\begin{array}{c} 3 & 5 \\ 0 & 1 \end{array}] [\begin{array}{c} a \\ b \end{array}] = [\begin{array}{c} 8 \\ - 5 \end{array}]$
1113	Find the Variables	[[3a-b+c,4b+d],[-3a+5c-d,-3b+6d]]=[[5,6],[7,-3]]	$[\begin{array}{c} 3 a - b + c & 4 b + d \\ - 3 a + 5 c - d & - 3 b + 6 d \end{array}] = [\begin{array}{c} 5 & 6 \\ 7 & - 3 \end{array}]$
1114	Find the Variables	[[4,-2],[3,0]]+[[w,x],[y,z]]=[[2,-3],[0,5]]	$[\begin{array}{c} 4 & - 2 \\ 3 & 0 \end{array}] + [\begin{array}{c} w & x \\ y & z \end{array}] = [\begin{array}{c} 2 & - 3 \\ 0 & 5 \end{array}]$
1115	Find the Variables	[[4x,3y]]=[[12,-1]]	$[\begin{array}{c} 4 x & 3 y \end{array}] = [\begin{array}{c} 12 & - 1 \end{array}]$
1116	Find the Variables	[[6,0],[0,2]][[a,b],[c,d]]=[[6,2],[4,2]]	$[\begin{array}{c} 6 & 0 \\ 0 & 2 \end{array}] [\begin{array}{c} a & b \\ c & d \end{array}] = [\begin{array}{c} 6 & 2 \\ 4 & 2 \end{array}]$
1117	Find the Variables	[[6,0],[0,6]][[1,x],[y,1]]=[[6,2],[4,2]]	$[\begin{array}{c} 6 & 0 \\ 0 & 6 \end{array}] [\begin{array}{c} 1 & x \\ y & 1 \end{array}] = [\begin{array}{c} 6 & 2 \\ 4 & 2 \end{array}]$
1118	Find the Variables	[[a,b],[c,d]]+[[7,8],[-7,-1]]=[[-1,-6],[7,-10]]	$[\begin{array}{c} a & b \\ c & d \end{array}] + [\begin{array}{c} 7 & 8 \\ - 7 & - 1 \end{array}] = [\begin{array}{c} - 1 & - 6 \\ 7 & - 10 \end{array}]$
1119	Find the Variables	[[a,b],[c,d]]=det[[a,b],[c,d]]	$[\begin{array}{c} a & b \\ c & d \end{array}] =$ det $[\begin{array}{c} a & b \\ c & d \end{array}]$
1120	Find the Variables	axb [[2,0,1],[3,0,0],[5,1,1]]b=[[1,0,1],[1,2,1],[1,1,0]]	axb $[\begin{array}{c} 2 & 0 & 1 \\ 3 & 0 & 0 \\ 5 & 1 & 1 \end{array}] b = [\begin{array}{c} 1 & 0 & 1 \\ 1 & 2 & 1 \\ 1 & 1 & 0 \end{array}]$
1121	Find the Variables	[[x^2,3],[1,3x]][[3,6],[2,x]]=[[1,0],[0,1]]	$[\begin{array}{c} x^{2} & 3 \\ 1 & 3 x \end{array}] [\begin{array}{c} 3 & 6 \\ 2 & x \end{array}] = [\begin{array}{c} 1 & 0 \\ 0 & 1 \end{array}]$
1122	Find the Variables	[[0.9,0.3],[0.1,0.7]][[x],[y]]=[[u],[v]]	$[\begin{array}{c} 0.9 & 0.3 \\ 0.1 & 0.7 \end{array}] [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} u \\ v \end{array}]$
1123	Find the Variables	[[2/3,-3],[2,-9]][[x],[y]]=[[1/5],[4]]	$[\begin{array}{c} \frac{2}{3} & - 3 \\ 2 & - 9 \end{array}] [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} \frac{1}{5} \\ 4 \end{array}]$
1124	Find the Variables	[[9/10,3/10],[1/10,7/10]][[x],[y]]=[[u],[v]]	$[\begin{array}{c} \frac{9}{10} & \frac{3}{10} \\ \frac{1}{10} & \frac{7}{10} \end{array}] [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} u \\ v \end{array}]$
1125	Find the Variables	[[0,-1,1],[2,2,-5],[-1,-1,3]][[x],[y],[z]]=[[8],[15],[23]]	$[\begin{array}{c} 0 & - 1 & 1 \\ 2 & 2 & - 5 \\ - 1 & - 1 & 3 \end{array}] [\begin{array}{c} x \\ y \\ z \end{array}] = [\begin{array}{c} 8 \\ 15 \\ 23 \end{array}]$
1126	Find the Variables	[[0,-2],[0,0]][[x],[y]]=[[1],[0]]	$[\begin{array}{c} 0 & - 2 \\ 0 & 0 \end{array}] [\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 1 \\ 0 \end{array}]$
1127	Find the Variables	[[0,3,4],[0,0,3],[0,0,0]][[a],[b],[d]]=[[1],[0],[0]]	$[\begin{array}{c} 0 & 3 & 4 \\ 0 & 0 & 3 \\ 0 & 0 & 0 \end{array}] [\begin{array}{c} a \\ b \\ d \end{array}] = [\begin{array}{c} 1 \\ 0 \\ 0 \end{array}]$
1128	Find the Variables	[[1,0,1,1],[18,1,8,1],[1,0,0,1]][[a],[b],[c],[d]]=[[0],[0],[0]]	$[\begin{array}{c} 1 & 0 & 1 & 1 \\ 18 & 1 & 8 & 1 \\ 1 & 0 & 0 & 1 \end{array}] [\begin{array}{c} a \\ b \\ c \\ d \end{array}] = [\begin{array}{c} 0 \\ 0 \\ 0 \end{array}]$
1129	Find the Variables	[[1,1,0],[-3,0,1],[0,-2,1]][[b],[d],[T]]=[[0],[3g],[29]]	$[\begin{array}{c} 1 & 1 & 0 \\ - 3 & 0 & 1 \\ 0 & - 2 & 1 \end{array}] [\begin{array}{c} b \\ d \\ T \end{array}] = [\begin{array}{c} 0 \\ 3 g \\ 29 \end{array}]$
1130	Find the Variables	[[1,-1,1],[0,2,1]]*[[a,d],[b,e],[c,f]]=[[1,0],[0,1]]	$[\begin{array}{c} 1 & - 1 & 1 \\ 0 & 2 & 1 \end{array}] \cdot [\begin{array}{c} a & d \\ b & e \\ c & f \end{array}] = [\begin{array}{c} 1 & 0 \\ 0 & 1 \end{array}]$
1131	Find the Variables	[[1,1,1],[4,10,0],[4* square root of 3,0,-2]][[x],[y],[z]]=[[600],[4500],[0]]	$[\begin{array}{c} 1 & 1 & 1 \\ 4 & 10 & 0 \\ 4 \cdot \sqrt{3} & 0 & - 2 \end{array}] [\begin{array}{c} x \\ y \\ z \end{array}] = [\begin{array}{c} 600 \\ 4500 \\ 0 \end{array}]$
1132	Find the Variables	[[1,-2,-3],[-1,4,6],[1,-1,-2]]*[[q],[x],[b]]=[[7],[7],[2]]	$[\begin{array}{c} 1 & - 2 & - 3 \\ - 1 & 4 & 6 \\ 1 & - 1 & - 2 \end{array}] \cdot [\begin{array}{c} q \\ x \\ b \end{array}] = [\begin{array}{c} 7 \\ 7 \\ 2 \end{array}]$
1133	Multiply the Matrices	[[9,-1],[-4,1/2]][[4],[24]]	$[\begin{array}{c} 9 & - 1 \\ - 4 & \frac{1}{2} \end{array}] [\begin{array}{c} 4 \\ 24 \end{array}]$
1134	Multiply the Matrices	[[9,-1],[-4,1/2]][[-4],[-28]]	$[\begin{array}{c} 9 & - 1 \\ - 4 & \frac{1}{2} \end{array}] [\begin{array}{c} - 4 \\ - 28 \end{array}]$
1135	Multiply the Matrices	[[9,10],[10,9]][[20],[24]]	$[\begin{array}{c} 9 & 10 \\ 10 & 9 \end{array}] [\begin{array}{c} 20 \\ 24 \end{array}]$
1136	Multiply the Matrices	[[9,18,18],[20,1,25],[8,22,7]][[4,13,2],[23,21,8],[10,1,3]]	$[\begin{array}{c} 9 & 18 & 18 \\ 20 & 1 & 25 \\ 8 & 22 & 7 \end{array}] [\begin{array}{c} 4 & 13 & 2 \\ 23 & 21 & 8 \\ 10 & 1 & 3 \end{array}]$
1137	Multiply the Matrices	[[-9,-5],[2,1]]*[[8],[-4]]	$[\begin{array}{c} - 9 & - 5 \\ 2 & 1 \end{array}] \cdot [\begin{array}{c} 8 \\ - 4 \end{array}]$
1138	Multiply the Matrices	[[9,6,0],[7,4,-4]][[-8,-5],[3,-5],[1,0]]	$[\begin{array}{c} 9 & 6 & 0 \\ 7 & 4 & - 4 \end{array}] [\begin{array}{c} - 8 & - 5 \\ 3 & - 5 \\ 1 & 0 \end{array}]$
1139	Multiply the Matrices	[[-9,7,-20],[-3,15,-13]][[-17,-4],[19,4],[-6,-16]]	$[\begin{array}{c} - 9 & 7 & - 20 \\ - 3 & 15 & - 13 \end{array}] [\begin{array}{c} - 17 & - 4 \\ 19 & 4 \\ - 6 & - 16 \end{array}]$
1140	Multiply the Matrices	[[-9,8],[-1,-4]][[4,-2],[-1,3]]	$[\begin{array}{c} - 9 & 8 \\ - 1 & - 4 \end{array}] [\begin{array}{c} 4 & - 2 \\ - 1 & 3 \end{array}]$
1141	Multiply the Matrices	[[9,-8],[-2,-6],[-2,-2]][[0,1,5],[0,0,1],[7,0,0]]	$[\begin{array}{c} 9 & - 8 \\ - 2 & - 6 \\ - 2 & - 2 \end{array}] [\begin{array}{c} 0 & 1 & 5 \\ 0 & 0 & 1 \\ 7 & 0 & 0 \end{array}]$
1142	Multiply the Matrices	[[-9,8],[8,5]][[7],[-3]]	$[\begin{array}{c} - 9 & 8 \\ 8 & 5 \end{array}] [\begin{array}{c} 7 \\ - 3 \end{array}]$
1143	Multiply the Matrices	[[a,b,c],[b,c,a],[c,a,b]]*[[-a,c,b],[-b,a,c],[-c,b,a]]	$[\begin{array}{c} a & b & c \\ b & c & a \\ c & a & b \end{array}] \cdot [\begin{array}{c} - a & c & b \\ - b & a & c \\ - c & b & a \end{array}]$
1144	Multiply the Matrices	[[a,b,c],[d,e,f],[g,h,i]][[1],[0],[0]]	$[\begin{array}{c} a & b & c \\ d & e & f \\ g & h & i \end{array}] [\begin{array}{c} 1 \\ 0 \\ 0 \end{array}]$
1145	Multiply the Matrices	[[a,c],[b,d]][[e,g],[f,h]]	$[\begin{array}{c} a & c \\ b & d \end{array}] [\begin{array}{c} e & g \\ f & h \end{array}]$
1146	Multiply the Matrices	[[cos(45),0,sin(45)],[0,1,0],[-sin(45),0,cos(45)]]*[[ square root of 2,0,0],[0, square root of 2,0],[0,0, square root of 2]]	$[\begin{array}{c} \cos (45) & 0 & \sin (45) \\ 0 & 1 & 0 \\ - \sin (45) & 0 & \cos (45) \end{array}] \cdot [\begin{array}{c} \sqrt{2} & 0 & 0 \\ 0 & \sqrt{2} & 0 \\ 0 & 0 & \sqrt{2} \end{array}]$
1147	Multiply the Matrices	[[cos(45),-sin(45)],[sin(45),cos(45)]][[2],[-3]]	$[\begin{array}{c} \cos (45) & - \sin (45) \\ \sin (45) & \cos (45) \end{array}] [\begin{array}{c} 2 \\ - 3 \end{array}]$
1148	Multiply the Matrices	[[cos(b),i/gsin(b)],[sin(b)(ig),cos(b)]][[cos(a),i/dsin(a)],[sin(a)*(id),cos(a)]]	$[\begin{array}{c} \cos (b) & \frac{i}{g} \cdot \sin (b) \\ \sin (b) \cdot (i g) & \cos (b) \end{array}] \cdot [\begin{array}{c} \cos (a) & \frac{i}{d} \cdot \sin (a) \\ \sin (a) \cdot (i d) & \cos (a) \end{array}]$
1149	Multiply the Matrices	[[i,1+i],[2-3i,4]]*[[2i,0],[i,1+2i]]	$[\begin{array}{c} i & 1 + i \\ 2 - 3 i & 4 \end{array}] \cdot [\begin{array}{c} 2 i & 0 \\ i & 1 + 2 i \end{array}]$
1150	Multiply the Matrices	[[i+1,2,1,-i],[1,i,2i,2]]*[[12,33,4,3],[i,4,65,4],[1,i,i,2],[1,1,0,i]]	$[\begin{array}{c} i + 1 & 2 & 1 & - i \\ 1 & i & 2 i & 2 \end{array}] \cdot [\begin{array}{c} 12 & 33 & 4 & 3 \\ i & 4 & 65 & 4 \\ 1 & i & i & 2 \\ 1 & 1 & 0 & i \end{array}]$
1151	Multiply the Matrices	[[x,-1],[1,y]]*[[x,-1],[1,y]]	$[\begin{array}{c} x & - 1 \\ 1 & y \end{array}] \cdot [\begin{array}{c} x & - 1 \\ 1 & y \end{array}]$
1152	Multiply the Matrices	[[x,4],[y,12]]*[[2,4],[3,1]]	$[\begin{array}{c} x & 4 \\ y & 12 \end{array}] \cdot [\begin{array}{c} 2 & 4 \\ 3 & 1 \end{array}]$
1153	Multiply the Matrices	[[x,6],[4,3]][[2,3],[2,1]]	$[\begin{array}{c} x & 6 \\ 4 & 3 \end{array}] [\begin{array}{c} 2 & 3 \\ 2 & 1 \end{array}]$
1154	Multiply the Matrices	[[a,0]][[5,1],[0,5]]	$[\begin{array}{c} a & 0 \end{array}] [\begin{array}{c} 5 & 1 \\ 0 & 5 \end{array}]$
1155	Multiply the Matrices	[[-y],[-x]][[x,y],[0,0]]	$[\begin{array}{c} - y \\ - x \end{array}] [\begin{array}{c} x & y \\ 0 & 0 \end{array}]$
1156	Multiply the Matrices	rref [[1,1,1,0,5],[0,1,0,0,5],[1,0,0,1,6],[0,0,1,0,6]]	rref $[\begin{array}{c} 1 & 1 & 1 & 0 & 5 \\ 0 & 1 & 0 & 0 & 5 \\ 1 & 0 & 0 & 1 & 6 \\ 0 & 0 & 1 & 0 & 6 \end{array}]$
1157	Find the Domain	y=-5x	$y = - 5 x$
1158	Find the Variables	xe^(2t)[[1],[0]]+ye^(2t)[[0],[-1]]+t[[1],[0]]=[[0],[1]]	$x e^{2 t} [\begin{array}{c} 1 \\ 0 \end{array}] + y e^{2 t} [\begin{array}{c} 0 \\ - 1 \end{array}] + t [\begin{array}{c} 1 \\ 0 \end{array}] = [\begin{array}{c} 0 \\ 1 \end{array}]$
1159	Find the Variables	15[[3,-6,5],[2,-1,0],[-4,7,4]]-5x=30[[-1,-2,1],[5,5,-4],[-3,-2,10]]	$15 [\begin{array}{c} 3 & - 6 & 5 \\ 2 & - 1 & 0 \\ - 4 & 7 & 4 \end{array}] - 5 x = 30 [\begin{array}{c} - 1 & - 2 & 1 \\ 5 & 5 & - 4 \\ - 3 & - 2 & 10 \end{array}]$
1160	Find the Variables	2X+[[-4,-2],[-6,1],[1,4]]=[[-6,-6],[0,-1],[-1,-4]]	$2 X + [\begin{array}{c} - 4 & - 2 \\ - 6 & 1 \\ 1 & 4 \end{array}] = [\begin{array}{c} - 6 & - 6 \\ 0 & - 1 \\ - 1 & - 4 \end{array}]$
1161	Find the Variables	3[[x,y],[y,z]]+2[[2y,-y],[3y,-4z]]=[[14,18-y],[36,10]]	$3 [\begin{array}{c} x & y \\ y & z \end{array}] + 2 [\begin{array}{c} 2 y & - y \\ 3 y & - 4 z \end{array}] = [\begin{array}{c} 14 & 18 - y \\ 36 & 10 \end{array}]$
1162	Find the Variables	4[[x,y],[z,-1]]=2[[y,z],[-x,1]]+2[[3,x],[9,-x]]	$4 [\begin{array}{c} x & y \\ z & - 1 \end{array}] = 2 [\begin{array}{c} y & z \\ - x & 1 \end{array}] + 2 [\begin{array}{c} 3 & x \\ 9 & - x \end{array}]$
1163	Find the Variables	A=[[2,3,4],[2,3,1],[1,2,4]][[2,3,4],[2,3,1],[1,2,4]]	$A = [\begin{array}{c} 2 & 3 & 4 \\ 2 & 3 & 1 \\ 1 & 2 & 4 \end{array}] [\begin{array}{c} 2 & 3 & 4 \\ 2 & 3 & 1 \\ 1 & 2 & 4 \end{array}]$
1164	Find the Variables	[[2,1,0],[r,0,1],[1,2,-2]][[a],[b],[c]]=[[0],[0],[0]]	$[\begin{array}{c} 2 & 1 & 0 \\ r & 0 & 1 \\ 1 & 2 & - 2 \end{array}] [\begin{array}{c} a \\ b \\ c \end{array}] = [\begin{array}{c} 0 \\ 0 \\ 0 \end{array}]$
1165	Multiply the Matrices	[[6,-3,-4],[9/2,-5/2,-3],[-5/3,1,1]]*[[0],[20],[-16]]	$[\begin{array}{c} 6 & - 3 & - 4 \\ \frac{9}{2} & - \frac{5}{2} & - 3 \\ - \frac{5}{3} & 1 & 1 \end{array}] \cdot [\begin{array}{c} 0 \\ 20 \\ - 16 \end{array}]$
1166	Multiply the Matrices	[[6,-3],[7,-3]]*[[0,1],[-1,1]]	$[\begin{array}{c} 6 & - 3 \\ 7 & - 3 \end{array}] \cdot [\begin{array}{c} 0 & 1 \\ - 1 & 1 \end{array}]$
1167	Multiply the Matrices	[[6,4,2]]*[[3,2,1],[2,4/3,2/3],[3/2,1,1/2]]	$[\begin{array}{c} 6 & 4 & 2 \end{array}] \cdot [\begin{array}{c} 3 & 2 & 1 \\ 2 & \frac{4}{3} & \frac{2}{3} \\ \frac{3}{2} & 1 & \frac{1}{2} \end{array}]$
1168	Multiply the Matrices	[[6],[-9]][[9,-10]]	$[\begin{array}{c} 6 \\ - 9 \end{array}] [\begin{array}{c} 9 & - 10 \end{array}]$
1169	Multiply the Matrices	[[68,41,98,51]][[44.8,6.2,10.1,7.4,8.1],[52.8,3.8,9.6,6.3,12.4],[47.4,8.3,12.6,8.2,9.7],[50.3,6.2,11.6,9.8,10.7]]	$[\begin{array}{c} 68 & 41 & 98 & 51 \end{array}] [\begin{array}{c} 44.8 & 6.2 & 10.1 & 7.4 & 8.1 \\ 52.8 & 3.8 & 9.6 & 6.3 & 12.4 \\ 47.4 & 8.3 & 12.6 & 8.2 & 9.7 \\ 50.3 & 6.2 & 11.6 & 9.8 & 10.7 \end{array}]$
1170	Multiply the Matrices	[[7,3,2],[-4,3,5],[6,1,-1]]	$[\begin{array}{c} 7 & 3 & 2 \\ - 4 & 3 & 5 \\ 6 & 1 & - 1 \end{array}]$
1171	Multiply the Matrices	[[7,-3,-3],[-1,1,0],[-1,0,1]][[1,-2,1],[-1,1,0],[2/3,0,-1/3]]	$[\begin{array}{c} 7 & - 3 & - 3 \\ - 1 & 1 & 0 \\ - 1 & 0 & 1 \end{array}] [\begin{array}{c} 1 & - 2 & 1 \\ - 1 & 1 & 0 \\ \frac{2}{3} & 0 & - \frac{1}{3} \end{array}]$
1172	Multiply the Matrices	[[7,3]][[1,6,-5],[7,-7,21]]	$[\begin{array}{c} 7 & 3 \end{array}] [\begin{array}{c} 1 & 6 & - 5 \\ 7 & - 7 & 21 \end{array}]$
1173	Multiply the Matrices	[[7,-3],[1,3]][[3],[1]]	$[\begin{array}{c} 7 & - 3 \\ 1 & 3 \end{array}] [\begin{array}{c} 3 \\ 1 \end{array}]$
1174	Multiply the Matrices	[[7,-3],[2,0]]*[[2,5],[-7,6]]	$[\begin{array}{c} 7 & - 3 \\ 2 & 0 \end{array}] \cdot [\begin{array}{c} 2 & 5 \\ - 7 & 6 \end{array}]$
1175	Multiply the Matrices	[[7,3],[2,4]][[8,12,15,15],[5,12,25,21]]	$[\begin{array}{c} 7 & 3 \\ 2 & 4 \end{array}] [\begin{array}{c} 8 & 12 & 15 & 15 \\ 5 & 12 & 25 & 21 \end{array}]$
1176	Multiply the Matrices	[[7,3],[4,11]]*[[1,1],[4,-1]]	$[\begin{array}{c} 7 & 3 \\ 4 & 11 \end{array}] \cdot [\begin{array}{c} 1 & 1 \\ 4 & - 1 \end{array}]$
1177	Multiply the Matrices	[[7,4,7,-4]][[-1],[3],[2],[1]]	$[\begin{array}{c} 7 & 4 & 7 & - 4 \end{array}] [\begin{array}{c} - 1 \\ 3 \\ 2 \\ 1 \end{array}]$
1178	Multiply the Matrices	[[7,6,5],[-4,-3,-2],[-1,0,1]][[-2,-12,-1],[3,-11,10],[-4,-26,2]]	$[\begin{array}{c} 7 & 6 & 5 \\ - 4 & - 3 & - 2 \\ - 1 & 0 & 1 \end{array}] [\begin{array}{c} - 2 & - 12 & - 1 \\ 3 & - 11 & 10 \\ - 4 & - 26 & 2 \end{array}]$
1179	Multiply the Matrices	[[7,8,9],[0,6,0],[1,2,3]]*[[1],[4],[5]]	$[\begin{array}{c} 7 & 8 & 9 \\ 0 & 6 & 0 \\ 1 & 2 & 3 \end{array}] \cdot [\begin{array}{c} 1 \\ 4 \\ 5 \end{array}]$
1180	Multiply the Matrices	[[7,9],[4,5]]*[[9,1],[7,9]]	$[\begin{array}{c} 7 & 9 \\ 4 & 5 \end{array}] \cdot [\begin{array}{c} 9 & 1 \\ 7 & 9 \end{array}]$
1181	Multiply the Matrices	[[7,9],[4,5]]+[[9,1],[7,9]]	$[\begin{array}{c} 7 & 9 \\ 4 & 5 \end{array}] + [\begin{array}{c} 9 & 1 \\ 7 & 9 \end{array}]$
1182	Multiply the Matrices	[[8,0,0],[0,-7,0],[0,0,-2]][[3,4],[6,-9],[-1,7]]	$[\begin{array}{c} 8 & 0 & 0 \\ 0 & - 7 & 0 \\ 0 & 0 & - 2 \end{array}] [\begin{array}{c} 3 & 4 \\ 6 & - 9 \\ - 1 & 7 \end{array}]$
1183	Multiply the Matrices	[[8,-1,0],[7,5,-4],[3,2,9]][[3],[2],[-8]]	$[\begin{array}{c} 8 & - 1 & 0 \\ 7 & 5 & - 4 \\ 3 & 2 & 9 \end{array}] [\begin{array}{c} 3 \\ 2 \\ - 8 \end{array}]$
1184	Multiply the Matrices	[[8,-1],[-7/2,1/2]][[1],[-5]]	$[\begin{array}{c} 8 & - 1 \\ - \frac{7}{2} & \frac{1}{2} \end{array}] [\begin{array}{c} 1 \\ - 5 \end{array}]$
1185	Multiply the Matrices	[[8,2],[9,78]]*[[8,2],[9,78]]	$[\begin{array}{c} 8 & 2 \\ 9 & 78 \end{array}] \cdot [\begin{array}{c} 8 & 2 \\ 9 & 78 \end{array}]$
1186	Multiply the Matrices	[[8,6],[-3,2]][[0,1],[1,1]]	$[\begin{array}{c} 8 & 6 \\ - 3 & 2 \end{array}] [\begin{array}{c} 0 & 1 \\ 1 & 1 \end{array}]$
1187	Multiply the Matrices	[[8,9,0],[-1,-2,3]]*[[4],[5],[6]]	$[\begin{array}{c} 8 & 9 & 0 \\ - 1 & - 2 & 3 \end{array}] \cdot [\begin{array}{c} 4 \\ 5 \\ 6 \end{array}]$
1188	Multiply the Matrices	[[-3,1],[5,-2]]*[[4,0,-2],[-3,1,1]]	$[\begin{array}{c} - 3 & 1 \\ 5 & - 2 \end{array}] \cdot [\begin{array}{c} 4 & 0 & - 2 \\ - 3 & 1 & 1 \end{array}]$
1189	Multiply the Matrices	[[3,-1],[-5,2]][[2],[13]]	$[\begin{array}{c} 3 & - 1 \\ - 5 & 2 \end{array}] [\begin{array}{c} 2 \\ 13 \end{array}]$
1190	Multiply the Matrices	[[-3,1],[5,5],[0,5],[1,3]][[x],[25],[10],[9]]	$[\begin{array}{c} - 3 & 1 \\ 5 & 5 \\ 0 & 5 \\ 1 & 3 \end{array}] [\begin{array}{c} x \\ 25 \\ 10 \\ 9 \end{array}]$
1191	Multiply the Matrices	[[3,18,-12],[1,2,-3],[-2,-3,4]][[21],[5],[-6]]	$[\begin{array}{c} 3 & 18 & - 12 \\ 1 & 2 & - 3 \\ - 2 & - 3 & 4 \end{array}] [\begin{array}{c} 21 \\ 5 \\ - 6 \end{array}]$
1192	Multiply the Matrices	[[3,-2,1],[-2,2,-1],[1,-1,1]]*[[1,0],[1,1],[0,2]]	$[\begin{array}{c} 3 & - 2 & 1 \\ - 2 & 2 & - 1 \\ 1 & - 1 & 1 \end{array}] \cdot [\begin{array}{c} 1 & 0 \\ 1 & 1 \\ 0 & 2 \end{array}]$
1193	Multiply the Matrices	[[3,-2,1],[4,1,-1]]*[[6,-4,2],[8,2,-2]]	$[\begin{array}{c} 3 & - 2 & 1 \\ 4 & 1 & - 1 \end{array}] \cdot [\begin{array}{c} 6 & - 4 & 2 \\ 8 & 2 & - 2 \end{array}]$
1194	Multiply the Matrices	[[-3,-2,-1],[-8,-7,8],[-4,-4,-6]]*[[3,-3],[7,-5],[8,5]]	$[\begin{array}{c} - 3 & - 2 & - 1 \\ - 8 & - 7 & 8 \\ - 4 & - 4 & - 6 \end{array}] \cdot [\begin{array}{c} 3 & - 3 \\ 7 & - 5 \\ 8 & 5 \end{array}]$
1195	Multiply the Matrices	[[-3,2,10,-9],[3,5,-8,-6]]*[[10,5],[-3,8],[2,3],[1,5]]	$[\begin{array}{c} - 3 & 2 & 10 & - 9 \\ 3 & 5 & - 8 & - 6 \end{array}] \cdot [\begin{array}{c} 10 & 5 \\ - 3 & 8 \\ 2 & 3 \\ 1 & 5 \end{array}]$
1196	Multiply the Matrices	[[-3,-2,-7],[0,-9,0],[-1,-9,8]][[-1,0,0],[0,-1,0],[0,0,-6]]	$[\begin{array}{c} - 3 & - 2 & - 7 \\ 0 & - 9 & 0 \\ - 1 & - 9 & 8 \end{array}] [\begin{array}{c} - 1 & 0 & 0 \\ 0 & - 1 & 0 \\ 0 & 0 & - 6 \end{array}]$
1197	Multiply the Matrices	[[3,-2],[1,0],[-1,4]]*[[5,-1,0],[1,2,-1]]	$[\begin{array}{c} 3 & - 2 \\ 1 & 0 \\ - 1 & 4 \end{array}] \cdot [\begin{array}{c} 5 & - 1 & 0 \\ 1 & 2 & - 1 \end{array}]$
1198	Multiply the Matrices	[[3,2],[1,1],[4,5]][[4,3],[2,1]]	$[\begin{array}{c} 3 & 2 \\ 1 & 1 \\ 4 & 5 \end{array}] [\begin{array}{c} 4 & 3 \\ 2 & 1 \end{array}]$
1199	Multiply the Matrices	[[3,2],[-1,2]][[2,6],[-3,k]]	$[\begin{array}{c} 3 & 2 \\ - 1 & 2 \end{array}] [\begin{array}{c} 2 & 6 \\ - 3 & k \end{array}]$
1200	Multiply the Matrices	[[3,2],[2,3]]*[[2,3],[3,2]]	$[\begin{array}{c} 3 & 2 \\ 2 & 3 \end{array}] \cdot [\begin{array}{c} 2 & 3 \\ 3 & 2 \end{array}]$