Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2701	Find the Inverse	[[0.6,-0.4],[0.8,-0.2]]	$[\begin{array}{c} 0.6 & - 0.4 \\ 0.8 & - 0.2 \end{array}]$
2702	Find the Inverse	[[0.9,0.3],[0.1,0.7]]	$[\begin{array}{c} 0.9 & 0.3 \\ 0.1 & 0.7 \end{array}]$
2703	Find the Inverse	[[0.2,0.3],[0.8,0.7]]	$[\begin{array}{c} 0.2 & 0.3 \\ 0.8 & 0.7 \end{array}]$
2704	Find the Inverse	[[0.60,-0.35],[-0.41,0.76]]	$[\begin{array}{c} 0.6 & - 0.35 \\ - 0.41 & 0.76 \end{array}]$
2705	Find the Inverse	[[1/( square root of 5),-14/( square root of 205)],[2/( square root of 5),-3/( square root of 205)]]	$[\begin{array}{c} \frac{1}{\sqrt{5}} & - \frac{14}{\sqrt{205}} \\ \frac{2}{\sqrt{5}} & - \frac{3}{\sqrt{205}} \end{array}]$
2706	Find the Inverse	[[1/11,1/11,-5/11],[1/11,1/11,1/22],[1/11,-10/11,1/22]]	$[\begin{array}{c} \frac{1}{11} & \frac{1}{11} & - \frac{5}{11} \\ \frac{1}{11} & \frac{1}{11} & \frac{1}{22} \\ \frac{1}{11} & - \frac{10}{11} & \frac{1}{22} \end{array}]$
2707	Find the Inverse	[[1/2,1],[1,1]]	$[\begin{array}{c} \frac{1}{2} & 1 \\ 1 & 1 \end{array}]$
2708	Find the Inverse	[[-1/4,-1/6],[1/3,4/3]]	$[\begin{array}{c} - \frac{1}{4} & - \frac{1}{6} \\ \frac{1}{3} & \frac{4}{3} \end{array}]$
2709	Find the Inverse	[[17/26,17/26,17/26],[17/26,12/26,17/26],[17/26,17/26,16/26]]	$[\begin{array}{c} \frac{17}{26} & \frac{17}{26} & \frac{17}{26} \\ \frac{17}{26} & \frac{12}{26} & \frac{17}{26} \\ \frac{17}{26} & \frac{17}{26} & \frac{16}{26} \end{array}]$
2710	Find the Inverse	[[-e^t,1],[e^t,e^(-t)]]	$[\begin{array}{c} - e^{t} & 1 \\ e^{t} & e^{- t} \end{array}]$
2711	Find the Inverse	[[ square root of 5,2 square root of 6,-1],[-2 square root of 5, square root of 6,2],[ square root of 5,0,5]]	$[\begin{array}{c} \sqrt{5} & 2 \sqrt{6} & - 1 \\ - 2 \sqrt{5} & \sqrt{6} & 2 \\ \sqrt{5} & 0 & 5 \end{array}]$
2712	Find the Inverse	[[0,1/8],[1/14,9/112]]	$[\begin{array}{c} 0 & \frac{1}{8} \\ \frac{1}{14} & \frac{9}{112} \end{array}]$
2713	Find the Inverse	[[0,0,0,1],[1,0,1,1],[1,1,1,1],[0,0,0,1]]	$[\begin{array}{c} 0 & 0 & 0 & 1 \\ 1 & 0 & 1 & 1 \\ 1 & 1 & 1 & 1 \\ 0 & 0 & 0 & 1 \end{array}]$
2714	Find the Inverse	[[0,0,1],[0,1,0],[-1,0,0]]	$[\begin{array}{c} 0 & 0 & 1 \\ 0 & 1 & 0 \\ - 1 & 0 & 0 \end{array}]$
2715	Find the Determinant	[[x+1,1,1],[1,x-1,1],[1,1,x]]	$[\begin{array}{c} x + 1 & 1 & 1 \\ 1 & x - 1 & 1 \\ 1 & 1 & x \end{array}]$
2716	Find the Determinant	v=[[i,j,k],[-1,0,5],[9,-4,-2]]	$v = [\begin{array}{c} i & j & k \\ - 1 & 0 & 5 \\ 9 & - 4 & - 2 \end{array}]$
2717	Find the Determinant	[[x,-1/6,-1/6],[-1/6,x,-1/6],[-1/6,-1/6,x]]	$[\begin{array}{c} x & - \frac{1}{6} & - \frac{1}{6} \\ - \frac{1}{6} & x & - \frac{1}{6} \\ - \frac{1}{6} & - \frac{1}{6} & x \end{array}]$
2718	Find the Determinant	[[x,x^2,1/x],[1,2x,-1/(x^2)],[0,2,2/(x^3)]]	$[\begin{array}{c} x & x^{2} & \frac{1}{x} \\ 1 & 2 x & - \frac{1}{x^{2}} \\ 0 & 2 & \frac{2}{x^{3}} \end{array}]$
2719	Find the Determinant	[[x,xe^x,x^2e^x],[1,e^x+xe^x,2xe^x+x^2e^x],[0,2e^x+xe^x,2e^x+4e^x+e^xx^2]]	$[\begin{array}{c} x & x e^{x} & x^{2} e^{x} \\ 1 & e^{x} + x e^{x} & (2 x e^{x} + x^{2} e^{x}) \\ 0 & 2 e^{x} + x e^{x} & 2 e^{x} + 4 e^{x} + e^{x} x^{2} \end{array}]$
2720	Find the Determinant	[[x,y,z],[2x,-y,-z],[x,2y,-z]]	$[\begin{array}{c} x & y & z \\ 2 x & - y & - z \\ x & 2 y & - z \end{array}]$
2721	Find the Determinant	[[x,0,1/x],[1,0,-1/(x^2)],[0,2x,2/(x^3)]]	$[\begin{array}{c} x & 0 & \frac{1}{x} \\ 1 & 0 & - \frac{1}{x^{2}} \\ 0 & 2 x & \frac{2}{x^{3}} \end{array}]$
2722	Find the Determinant	[[a,b,c],[d,e,f],[5g,5h,5i]]	$[\begin{array}{c} a & b & c \\ d & e & f \\ 5 g & 5 h & 5 i \end{array}]$
2723	Find the Determinant	[[a,b,c],[5,6,5],[4,3,2]]	$[\begin{array}{c} a & b & c \\ 5 & 6 & 5 \\ 4 & 3 & 2 \end{array}]$
2724	Find the Determinant	[[a,b,c],[d,e,f],[2g,2h,2i]]	$[\begin{array}{c} a & b & c \\ d & e & f \\ 2 g & 2 h & 2 i \end{array}]$
2725	Find the Inverse	[[2,5,9],[5,4,7],[8,6,4]]	$[\begin{array}{c} 2 & 5 & 9 \\ 5 & 4 & 7 \\ 8 & 6 & 4 \end{array}]$
2726	Find the Inverse	1/-5*[[19,4],[48,-7]]	$\frac{1}{- 5} \cdot [\begin{array}{c} 19 & 4 \\ 48 & - 7 \end{array}]$
2727	Find the Inverse	1/(75[[-7,1,-5],[8,-44,-5],[17,-56,-20]])	$\frac{1}{75 [\begin{array}{c} - 7 & 1 & - 5 \\ 8 & - 44 & - 5 \\ 17 & - 56 & - 20 \end{array}]}$
2728	Find the Inverse	[[1,2],[2,3]]	$[\begin{array}{c} 1 & 2 \\ 2 & 3 \end{array}]$
2729	Find the Inverse	[[1,-2],[3,-4]]^3	${[\begin{array}{c} 1 & - 2 \\ 3 & - 4 \end{array}]}^{3}$
2730	Find the Inverse	[[-7,12],[-4,7]]^2	${[\begin{array}{c} - 7 & 12 \\ - 4 & 7 \end{array}]}^{2}$
2731	Find the Inverse	5A=[[5,1],[32,6]]	$5 A = [\begin{array}{c} 5 & 1 \\ 32 & 6 \end{array}]$
2732	Find the Inverse	A*B=TR[[23,-16],[-9,7]]	$A \cdot B = T R [\begin{array}{c} 23 & - 16 \\ - 9 & 7 \end{array}]$
2733	Find the Inverse	A=[[2,1],[4,2]]	$A = [\begin{array}{c} 2 & 1 \\ 4 & 2 \end{array}]$
2734	Find the Inverse	A=[[-3-3i,1-3i],[-3+i,2+4i]]	$A = [\begin{array}{c} - 3 - 3 i & 1 - 3 i \\ - 3 + i & 2 + 4 i \end{array}]$
2735	Find the Inverse	det [[x,7],[6,2]]=-44	det $[\begin{array}{c} x & 7 \\ 6 & 2 \end{array}] = - 44$
2736	Find the Inverse	eigenvalue ([[1,2,3],[4,5,6],[7,8,9]])	eigenvalue $([\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}])$
2737	Find the Inverse	[[4,-2,6],[0,1,-3],[0,0,6]]	$[\begin{array}{c} 4 & - 2 & 6 \\ 0 & 1 & - 3 \\ 0 & 0 & 6 \end{array}]$
2738	Find the Inverse	[[4,7],[1,2]]	$[\begin{array}{c} 4 & 7 \\ 1 & 2 \end{array}]$
2739	Find the Inverse	[[4,7],[3,5]]	$[\begin{array}{c} 4 & 7 \\ 3 & 5 \end{array}]$
2740	Find the Inverse	[[4,7],[8,14]]	$[\begin{array}{c} 4 & 7 \\ 8 & 14 \end{array}]$
2741	Find the Inverse	[[46,41,18],[-14,-16,-26],[7,11,-25]]	$[\begin{array}{c} 46 & 41 & 18 \\ - 14 & - 16 & - 26 \\ 7 & 11 & - 25 \end{array}]$
2742	Find the Inverse	[[5,10],[10,30]]	$[\begin{array}{c} 5 & 10 \\ 10 & 30 \end{array}]$
2743	Find the Inverse	[[5,10],[3,6]]	$[\begin{array}{c} 5 & 10 \\ 3 & 6 \end{array}]$
2744	Find the Inverse	[[5,13,57],[13,57,289],[57,289,1569]]	$[\begin{array}{c} 5 & 13 & 57 \\ 13 & 57 & 289 \\ 57 & 289 & 1569 \end{array}]$
2745	Find the Inverse	[[5x,-4y],[6x,-5y]]	$[\begin{array}{c} 5 x & - 4 y \\ 6 x & - 5 y \end{array}]$
2746	Find the Inverse	[[6,2],[5,7]]	$[\begin{array}{c} 6 & 2 \\ 5 & 7 \end{array}]$
2747	Find the Inverse	[[2,3],[5,7]]	$[\begin{array}{c} 2 & 3 \\ 5 & 7 \end{array}]$
2748	Find the Inverse	[[2,4,3],[1,0,1],[3,2,2]]	$[\begin{array}{c} 2 & 4 & 3 \\ 1 & 0 & 1 \\ 3 & 2 & 2 \end{array}]$
2749	Find the Inverse	[[2,4],[6,8]]	$[\begin{array}{c} 2 & 4 \\ 6 & 8 \end{array}]$
2750	Find the Inverse	[[-2,5],[3,4]]	$[\begin{array}{c} - 2 & 5 \\ 3 & 4 \end{array}]$
2751	Find the Inverse	[[1000,100,10],[300,20,1],[60,2,0]]	$[\begin{array}{c} 1000 & 100 & 10 \\ 300 & 20 & 1 \\ 60 & 2 & 0 \end{array}]$
2752	Find the Inverse	[[1,-2,3],[0,1,2],[0,0,2]]	$[\begin{array}{c} 1 & - 2 & 3 \\ 0 & 1 & 2 \\ 0 & 0 & 2 \end{array}]$
2753	Find the Inverse	[[1,2,3],[0,4,5],[1,0,6]]	$[\begin{array}{c} 1 & 2 & 3 \\ 0 & 4 & 5 \\ 1 & 0 & 6 \end{array}]$
2754	Find the Inverse	[[21,25],[25,35]]	$[\begin{array}{c} 21 & 25 \\ 25 & 35 \end{array}]$
2755	Find the Inverse	[[22000,45000],[18000,27000]]	$[\begin{array}{c} 22000 & 45000 \\ 18000 & 27000 \end{array}]$
2756	Find the Inverse	[[1,2,3],[2,5,3],[1,0,8]]	$[\begin{array}{c} 1 & 2 & 3 \\ 2 & 5 & 3 \\ 1 & 0 & 8 \end{array}]$
2757	Find the Inverse	[[3,1],[5,2]]	$[\begin{array}{c} 3 & 1 \\ 5 & 2 \end{array}]$
2758	Find the Inverse	[[3,-2,3],[5,0,4],[2,7,0]]	$[\begin{array}{c} 3 & - 2 & 3 \\ 5 & 0 & 4 \\ 2 & 7 & 0 \end{array}]$
2759	Find the Inverse	[[3,-2],[1,-1]]	$[\begin{array}{c} 3 & - 2 \\ 1 & - 1 \end{array}]$
2760	Find the Inverse	[[3,2],[7,5]]	$[\begin{array}{c} 3 & 2 \\ 7 & 5 \end{array}]$
2761	Find the Inverse	[[3,-4],[-2,7]]	$[\begin{array}{c} 3 & - 4 \\ - 2 & 7 \end{array}]$
2762	Find the Inverse	[[3,4],[5,3]]	$[\begin{array}{c} 3 & 4 \\ 5 & 3 \end{array}]$
2763	Find the Inverse	[[3,7],[8,4]]	$[\begin{array}{c} 3 & 7 \\ 8 & 4 \end{array}]$
2764	Find the Inverse	[[3,-9],[-2,5]]	$[\begin{array}{c} 3 & - 9 \\ - 2 & 5 \end{array}]$
2765	Find the Inverse	[[3e^t,e^(2t)],[2e^t,2e^(2t)]]	$[\begin{array}{c} 3 e^{t} & e^{2 t} \\ 2 e^{t} & 2 e^{2 t} \end{array}]$
2766	Find the Inverse	[[30,36,42],[66,81,96],[102,126,150]]	$[\begin{array}{c} 30 & 36 & 42 \\ 66 & 81 & 96 \\ 102 & 126 & 150 \end{array}]$
2767	Find the Inverse	[[30,50,65],[40,50,40],[50,50,15]]	$[\begin{array}{c} 30 & 50 & 65 \\ 40 & 50 & 40 \\ 50 & 50 & 15 \end{array}]$
2768	Find the Inverse	[[34,64],[7,13]]	$[\begin{array}{c} 34 & 64 \\ 7 & 13 \end{array}]$
2769	Find the Inverse	[[4,10,30],[10,30,100],[30,100,354]]	$[\begin{array}{c} 4 & 10 & 30 \\ 10 & 30 & 100 \\ 30 & 100 & 354 \end{array}]$
2770	Find the Inverse	[[2,0],[0,2]]	$[\begin{array}{c} 2 & 0 \\ 0 & 2 \end{array}]$
2771	Find the Inverse	[[2,2],[-1+3i,-1-3i]]	$[\begin{array}{c} 2 & 2 \\ - 1 + 3 i & - 1 - 3 i \end{array}]$
2772	Find the Inverse	[[-2,3,5],[6,-1,0],[4,2,1]]	$[\begin{array}{c} - 2 & 3 & 5 \\ 6 & - 1 & 0 \\ 4 & 2 & 1 \end{array}]$
2773	Find the Inverse	[[1,2],[7,16]]	$[\begin{array}{c} 1 & 2 \\ 7 & 16 \end{array}]$
2774	Solve Using an Inverse Matrix	2x+3y=-1 , 2x-5y=3	$2 x + 3 y = - 1$ , $2 x - 5 y = 3$
2775	Find the Inverse	[[1,3,-1],[0,1,-4],[0,0,1]]	$[\begin{array}{c} 1 & 3 & - 1 \\ 0 & 1 & - 4 \\ 0 & 0 & 1 \end{array}]$
2776	Find the Inverse	[[1,-3],[2,4]]	$[\begin{array}{c} 1 & - 3 \\ 2 & 4 \end{array}]$
2777	Find the Inverse	[[1,3],[5,7]]	$[\begin{array}{c} 1 & 3 \\ 5 & 7 \end{array}]$
2778	Find the Inverse	[[1,-4,2],[-2,8,-9],[-1,7,0]]	$[\begin{array}{c} 1 & - 4 & 2 \\ - 2 & 8 & - 9 \\ - 1 & 7 & 0 \end{array}]$
2779	Find the Inverse	[[1,4],[2,7]]	$[\begin{array}{c} 1 & 4 \\ 2 & 7 \end{array}]$
2780	Find the Inverse	[[1,7],[4,2]]	$[\begin{array}{c} 1 & 7 \\ 4 & 2 \end{array}]$
2781	Find the Inverse	[[1,-7],[-8,0]]	$[\begin{array}{c} 1 & - 7 \\ - 8 & 0 \end{array}]$
2782	Find the Inverse	[[1,1],[2,3]]	$[\begin{array}{c} 1 & 1 \\ 2 & 3 \end{array}]$
2783	Find the Inverse	[[1,-2,0],[0,0,1],[0,1,0]]	$[\begin{array}{c} 1 & - 2 & 0 \\ 0 & 0 & 1 \\ 0 & 1 & 0 \end{array}]$
2784	Find the Inverse	[[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]]	$[\begin{array}{c} 1 & 2 & 3 & 4 \\ 5 & 6 & 7 & 8 \\ 9 & 10 & 11 & 12 \\ 13 & 14 & 15 & 16 \end{array}]$
2785	Find the Inverse	[[1,2],[3,5]]	$[\begin{array}{c} 1 & 2 \\ 3 & 5 \end{array}]$
2786	Find Reduced Row Echelon Form	[[1,1,1,180],[1,0,-1,59],[-1,-1,1,8]]	$[\begin{array}{c} 1 & 1 & 1 & 180 \\ 1 & 0 & - 1 & 59 \\ - 1 & - 1 & 1 & 8 \end{array}]$
2787	Find Reduced Row Echelon Form	[[1,1,1,3200],[0.07,0.08,0.09,274],[0,-1,1,1000]]	$[\begin{array}{c} 1 & 1 & 1 & 3200 \\ 0.07 & 0.08 & 0.09 & 274 \\ 0 & - 1 & 1 & 1000 \end{array}]$
2788	Find Reduced Row Echelon Form	[[1,1,1],[1,2,k],[1,4,k^2]]	$[\begin{array}{c} 1 & 1 & 1 \\ 1 & 2 & k \\ 1 & 4 & k^{2} \end{array}]$
2789	Find Reduced Row Echelon Form	[[1,1,-2,0,-3,-1],[1,2,-3,0,-5,0],[1,3,-4,0,-13,-11],[1,-1,1,1,-10,0],[1,4,-5,0,-1,23]]	$[\begin{array}{c} 1 & 1 & - 2 & 0 & - 3 & - 1 \\ 1 & 2 & - 3 & 0 & - 5 & 0 \\ 1 & 3 & - 4 & 0 & - 13 & - 11 \\ 1 & - 1 & 1 & 1 & - 10 & 0 \\ 1 & 4 & - 5 & 0 & - 1 & 23 \end{array}]$
2790	Find Reduced Row Echelon Form	[[1,1.61,0.35,564.2],[1,0.2,0.8,428],[3.67,3.86,0.8,1610.9]]	$[\begin{array}{c} 1 & 1.61 & 0.35 & 564.2 \\ 1 & 0.2 & 0.8 & 428 \\ 3.67 & 3.86 & 0.8 & 1610.9 \end{array}]$
2791	Find Reduced Row Echelon Form	[[0,0,3,0],[100000,40000,18000,254000]]	$[\begin{array}{c} 0 & 0 & 3 & 0 \\ 100000 & 40000 & 18000 & 254000 \end{array}]$
2792	Find the Inverse	[[-6x+7y,-25],[-4x-5y,-7]]	$[\begin{array}{c} - 6 x + 7 y & - 25 \\ - 4 x - 5 y & - 7 \end{array}]$
2793	Find the Inverse	[[2,-8],[11,11]]	$[\begin{array}{c} 2 & - 8 \\ 11 & 11 \end{array}]$
2794	Find the Inverse	[[13,8,15],[6,0,7],[7,9,8]]	$[\begin{array}{c} 13 & 8 & 15 \\ 6 & 0 & 7 \\ 7 & 9 & 8 \end{array}]$
2795	Find the Inverse	[[7,3],[-6,-3]]	$[\begin{array}{c} 7 & 3 \\ - 6 & - 3 \end{array}]$
2796	Find the Inverse	[[7,4,5],[2,1,3],[7,8,9]]	$[\begin{array}{c} 7 & 4 & 5 \\ 2 & 1 & 3 \\ 7 & 8 & 9 \end{array}]$
2797	Find the Inverse	[[-7,-8,3],[6,4,4],[2,8,4]]	$[\begin{array}{c} - 7 & - 8 & 3 \\ 6 & 4 & 4 \\ 2 & 8 & 4 \end{array}]$
2798	Find the Inverse	[[7,8],[2/3,1/3]]	$[\begin{array}{c} 7 & 8 \\ \frac{2}{3} & \frac{1}{3} \end{array}]$
2799	Find the Inverse	[[7,8],[4,6]]	$[\begin{array}{c} 7 & 8 \\ 4 & 6 \end{array}]$
2800	Find the Inverse	[[8,0],[729,64]]	$[\begin{array}{c} 8 & 0 \\ 729 & 64 \end{array}]$