Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4901	Find Reduced Row Echelon Form	[[s-2t],[3+3s],[3s+t],[2s]]	$[\begin{array}{c} s - 2 t \\ 3 + 3 s \\ 3 s + t \\ 2 s \end{array}]$
4902	Find Reduced Row Echelon Form	[[x,cos(3x),sin(4x)],[-2,1,3],[1,1,2]]	$[\begin{array}{c} x & \cos (3 x) & \sin (4 x) \\ - 2 & 1 & 3 \\ 1 & 1 & 2 \end{array}]$
4903	Find Reduced Row Echelon Form	[[a,-2b,3d=11],[4a,b,-d=4],[2a,-b,3d=10]]	$[\begin{array}{c} a & - 2 b & 3 d = 11 \\ 4 a & b & - d = 4 \\ 2 a & - b & 3 d = 10 \end{array}]$
4904	Find Reduced Row Echelon Form	rref [[1,1,1,0,5],[0,1,0,0,5],[1,0,0,1,6],[0,0,1,0,6]]	rref $[\begin{array}{c} 1 & 1 & 1 & 0 & 5 \\ 0 & 1 & 0 & 0 & 5 \\ 1 & 0 & 0 & 1 & 6 \\ 0 & 0 & 1 & 0 & 6 \end{array}]$
4905	Find the Domain	x^2=9x+10	$x^{2} = 9 x + 10$
4906	Transpose	(2,-1),[[1,1],[1,4],[1,-2]]	$(2, - 1) [\begin{array}{c} 1 & 1 \\ 1 & 4 \\ 1 & - 2 \end{array}]$
4907	Transpose	[[1,1],[0,1]]^n	${[\begin{array}{c} 1 & 1 \\ 0 & 1 \end{array}]}^{n}$
4908	Transpose	[[0.2,0.3],[0.8,0.7]]	$[\begin{array}{c} 0.2 & 0.3 \\ 0.8 & 0.7 \end{array}]$
4909	Transpose	[[0,-2,3],[1,7,4],[3,5,9]]	$[\begin{array}{c} 0 & - 2 & 3 \\ 1 & 7 & 4 \\ 3 & 5 & 9 \end{array}]$
4910	Transpose	[[0,4.5],[100,4.2],[200,3.9]]	$[\begin{array}{c} 0 & 4.5 \\ 100 & 4.2 \\ 200 & 3.9 \end{array}]$
4911	Transpose	[[1,0,0,0],[0,1,0,-2],[0,0,1,3]]	$[\begin{array}{c} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & - 2 \\ 0 & 0 & 1 & 3 \end{array}]$
4912	Transpose	[[1,1,0,-1],[0,-1,1,1]]	$[\begin{array}{c} 1 & 1 & 0 & - 1 \\ 0 & - 1 & 1 & 1 \end{array}]$
4913	Transpose	[[1,1,1,1900],[0,0.01,0.02,20],[0,0,3,2400]]	$[\begin{array}{c} 1 & 1 & 1 & 1900 \\ 0 & 0.01 & 0.02 & 20 \\ 0 & 0 & 3 & 2400 \end{array}]$
4914	Transpose	[[1,-1,1,3],[1,0,3,6],[0,1,-2,-1]]	$[\begin{array}{c} 1 & - 1 & 1 & 3 \\ 1 & 0 & 3 & 6 \\ 0 & 1 & - 2 & - 1 \end{array}]$
4915	Transpose	[[1,1],[0.05,0.1],[2,-1]]	$[\begin{array}{c} 1 & 1 \\ 0.05 & 0.1 \\ 2 & - 1 \end{array}]$
4916	Transpose	[[1,2,3],[4,5,6],[7,8,0]]	$[\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 0 \end{array}]$
4917	Transpose	[[1,2,3],[x,y,z]]	$[\begin{array}{c} 1 & 2 & 3 \\ x & y & z \end{array}]$
4918	Find the Eigenvalues	[[1,-2,0,13],[2,0,-12,-8],[0,4,0,-8],[0,0,8,8]]	$[\begin{array}{c} 1 & - 2 & 0 & 13 \\ 2 & 0 & - 12 & - 8 \\ 0 & 4 & 0 & - 8 \\ 0 & 0 & 8 & 8 \end{array}]$
4919	Find the Eigenvalues	[[1,2,3],[4,5,6],[7,8,9]]	$[\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}]$
4920	Find the Eigenvalues	[[1,3],[2,-1]]	$[\begin{array}{c} 1 & 3 \\ 2 & - 1 \end{array}]$
4921	Find the Eigenvalues	[[19,25,30,5],[-23,-30,-35,-5],[7,9,10,1],[-3,-4,-5,-1]]	$[\begin{array}{c} 19 & 25 & 30 & 5 \\ - 23 & - 30 & - 35 & - 5 \\ 7 & 9 & 10 & 1 \\ - 3 & - 4 & - 5 & - 1 \end{array}]$
4922	Find the Eigenvalues	[[-2,0,0],[0,-2,0],[0,0,13]]	$[\begin{array}{c} - 2 & 0 & 0 \\ 0 & - 2 & 0 \\ 0 & 0 & 13 \end{array}]$
4923	Find the Eigenvalues	[[-2,0,-36],[0,-3,0],[-36,0,-23]]	$[\begin{array}{c} - 2 & 0 & - 36 \\ 0 & - 3 & 0 \\ - 36 & 0 & - 23 \end{array}]$
4924	Find the Eigenvalues	[[0,1],[2 square root of a,0]]	$[\begin{array}{c} 0 & 1 \\ 2 \sqrt{a} & 0 \end{array}]$
4925	Find the Eigenvalues	[[0.4,1-c],[0.6,c]]	$[\begin{array}{c} 0.4 & 1 - c \\ 0.6 & c \end{array}]$
4926	Find the Eigenvalues	[[0.5,0.5],[0.5,0.5]]	$[\begin{array}{c} 0.5 & 0.5 \\ 0.5 & 0.5 \end{array}]$
4927	Find the Eigenvalues	[[0.6,0.8],[0.8,-0.6]]	$[\begin{array}{c} 0.6 & 0.8 \\ 0.8 & - 0.6 \end{array}]$
4928	Find the Eigenvalues	[[0.87,0.02,0.02],[0.05,0.9,0.03],[0.08,0.08,0.95]]	$[\begin{array}{c} 0.87 & 0.02 & 0.02 \\ 0.05 & 0.9 & 0.03 \\ 0.08 & 0.08 & 0.95 \end{array}]$
4929	Find the Eigenvalues	[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]	$[\begin{array}{c} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \end{array}]$
4930	Find the Eigenvalues	[[1,0,0,1],[0,1,1,0],[0,1,1,0],[1,0,0,3]]	$[\begin{array}{c} 1 & 0 & 0 & 1 \\ 0 & 1 & 1 & 0 \\ 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 3 \end{array}]$
4931	Find the Eigenvalues	[[1,0,1,0],[0,1,1,0],[0,0,1,1],[1,1,0,1]]	$[\begin{array}{c} 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 \\ 0 & 0 & 1 & 1 \\ 1 & 1 & 0 & 1 \end{array}]$
4932	Find the Eigenvalues	[[1,0,1,1],[0,1,1,1],[1,1,1,0],[1,1,0,1]]	$[\begin{array}{c} 1 & 0 & 1 & 1 \\ 0 & 1 & 1 & 1 \\ 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 1 \end{array}]$
4933	Find the Eigenvalues	[[1,0,5,3],[1,3,2,0],[3,1,0,1],[0,1,1,1]]	$[\begin{array}{c} 1 & 0 & 5 & 3 \\ 1 & 3 & 2 & 0 \\ 3 & 1 & 0 & 1 \\ 0 & 1 & 1 & 1 \end{array}]$
4934	Transpose	[[5,7,0,-3],[5,x,65,x],[-2,-1,1,0],[0,-2,0,34]]	$[\begin{array}{c} 5 & 7 & 0 & - 3 \\ 5 & x & 65 & x \\ - 2 & - 1 & 1 & 0 \\ 0 & - 2 & 0 & 34 \end{array}]$
4935	Transpose	[[5x-2y-4z=3],[3x+3y+2z=-3],[-2x+5y+3z=3]]	$[\begin{array}{c} 5 x - 2 y - 4 z = 3 \\ 3 x + 3 y + 2 z = - 3 \\ - 2 x + 5 y + 3 z = 3 \end{array}]$
4936	Transpose	[[ log of x, log of y]]	$[\begin{array}{c} \log (x) & \log (y) \end{array}]$
4937	Transpose	[[x,y,z,6],[x,-y,z,7]]	$[\begin{array}{c} x & y & z & 6 \\ x & - y & z & 7 \end{array}]$
4938	Transpose	[[x,z,5],[y,z,4],[x,y,7]]	$[\begin{array}{c} x & z & 5 \\ y & z & 4 \\ x & y & 7 \end{array}]$
4939	Find the Eigenvalues	A=[[0,0,2,0],[6,0,2,0],[0,1,-7,0],[0,0,0,1]]	$A = [\begin{array}{c} 0 & 0 & 2 & 0 \\ 6 & 0 & 2 & 0 \\ 0 & 1 & - 7 & 0 \\ 0 & 0 & 0 & 1 \end{array}]$
4940	Find the Eigenvalues	A=[[0,1,0],[0,0,1],[729k^3,-243k^2,27k]]	$A = [\begin{array}{c} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 729 k^{3} & - 243 k^{2} & 27 k \end{array}]$
4941	Find the Eigenvalues	A=[[2,0,0,3],[3,-1,0,0],[8,7,1/2,0],[-1,9,6,0]]	$A = [\begin{array}{c} 2 & 0 & 0 & 3 \\ 3 & - 1 & 0 & 0 \\ 8 & 7 & \frac{1}{2} & 0 \\ - 1 & 9 & 6 & 0 \end{array}]$
4942	Find the Eigenvalues	A=[[5,-2],[-2,2]]	$A = [\begin{array}{c} 5 & - 2 \\ - 2 & 2 \end{array}]$
4943	Find the Eigenvalues	A=[[cos(o),-sin(o)],[sin(o),cos(o)]]	$A = [\begin{array}{c} \cos (o) & - \sin (o) \\ \sin (o) & \cos (o) \end{array}]$
4944	Find the Eigenvalues	inverse ([[1,2,3],[4,5,6],[7,8,9]])	inverse $([\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{array}])$
4945	Find the Eigenvalues	[[0.65,0.35],[0.45,0.55]]	$[\begin{array}{c} 0.65 & 0.35 \\ 0.45 & 0.55 \end{array}]$
4946	Find the Eigenvalues	[[31/6,-73/18,-16/9],[-73/18,91/18,16/9],[-16/9,16/9,2]]	$[\begin{array}{c} \frac{31}{6} & - \frac{73}{18} & - \frac{16}{9} \\ - \frac{73}{18} & \frac{91}{18} & \frac{16}{9} \\ - \frac{16}{9} & \frac{16}{9} & 2 \end{array}]$
4947	Find the Eigenvalues	[[0,7/2,9/2,11/2],[7/2,0,11/2,9/2],[9/2,11/2,0,7/2],[11/2,9/2,7/2,0]]	$[\begin{array}{c} 0 & \frac{7}{2} & \frac{9}{2} & \frac{11}{2} \\ \frac{7}{2} & 0 & \frac{11}{2} & \frac{9}{2} \\ \frac{9}{2} & \frac{11}{2} & 0 & \frac{7}{2} \\ \frac{11}{2} & \frac{9}{2} & \frac{7}{2} & 0 \end{array}]$
4948	Find the Eigenvalues	[[0,1,0],[0,0,1],[729k^3,-243k^2,27k]]	$[\begin{array}{c} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 729 k^{3} & - 243 k^{2} & 27 k \end{array}]$
4949	Find the Eigenvalues	[[0,1],[0,0]]	$[\begin{array}{c} 0 & 1 \\ 0 & 0 \end{array}]$
4950	Find the Eigenvalues	[[0,1],[-1, square root of 2]]	$[\begin{array}{c} 0 & 1 \\ - 1 & \sqrt{2} \end{array}]$
4951	Find the Eigenvalues	[[0,1],[1,0]]	$[\begin{array}{c} 0 & 1 \\ 1 & 0 \end{array}]$
4952	Transpose	[[2,-4,12],[0,6,-12],[1,-2,3]]	$[\begin{array}{c} 2 & - 4 & 12 \\ 0 & 6 & - 12 \\ 1 & - 2 & 3 \end{array}]$
4953	Transpose	[[200,300,500,250],[100,150,200,300]]	$[\begin{array}{c} 200 & 300 & 500 & 250 \\ 100 & 150 & 200 & 300 \end{array}]$
4954	Find Reduced Row Echelon Form	[[7,4,1],[0,1,2]]	$[\begin{array}{c} 7 & 4 & 1 \\ 0 & 1 & 2 \end{array}]$
4955	Find the Inverse	[[2,3],[1,2]]	$[\begin{array}{c} 2 & 3 \\ 1 & 2 \end{array}]$
4956	Find Reduced Row Echelon Form	[[6,-8,5],[-9,12,7]]	$[\begin{array}{c} 6 & - 8 & 5 \\ - 9 & 12 & 7 \end{array}]$
4957	Find the Eigenvalues	[[6e^(-4x),0,-3],[12e^(-4x),9e^(-2x),-15],[3e^(-4x),3e^(-2x),-3]]	$[\begin{array}{c} 6 e^{- 4 x} & 0 & - 3 \\ 12 e^{- 4 x} & 9 e^{- 2 x} & - 15 \\ 3 e^{- 4 x} & 3 e^{- 2 x} & - 3 \end{array}]$
4958	Find the Eigenvalues	[[7,0,0,0,0],[1,3,0,0,0],[-2,7,0,0,0],[7,7,4,7,0],[8,8,-7,-9,3]]	$[\begin{array}{c} 7 & 0 & 0 & 0 & 0 \\ 1 & 3 & 0 & 0 & 0 \\ - 2 & 7 & 0 & 0 & 0 \\ 7 & 7 & 4 & 7 & 0 \\ 8 & 8 & - 7 & - 9 & 3 \end{array}]$
4959	Find the Eigenvalues	[[8,0,0],[-9,13,0],[5,8,1]]	$[\begin{array}{c} 8 & 0 & 0 \\ - 9 & 13 & 0 \\ 5 & 8 & 1 \end{array}]$
4960	Find the Eigenvalues	[[8,1194,2865,1485],[0,2197,2037,2023],[0,0,4913,798],[0,0,0,125]]	$[\begin{array}{c} 8 & 1194 & 2865 & 1485 \\ 0 & 2197 & 2037 & 2023 \\ 0 & 0 & 4913 & 798 \\ 0 & 0 & 0 & 125 \end{array}]$
4961	Find the Eigenvalues	[[8,-3],[3,2]]	$[\begin{array}{c} 8 & - 3 \\ 3 & 2 \end{array}]$
4962	Find the Eigenvalues	[[9,-4],[12,-5]]	$[\begin{array}{c} 9 & - 4 \\ 12 & - 5 \end{array}]$
4963	Find the Eigenvalues	[[x,-1/3,-1/3],[-1/3,x,-1/3],[-1/3,-1/3,x]]	$[\begin{array}{c} x & - \frac{1}{3} & - \frac{1}{3} \\ - \frac{1}{3} & x & - \frac{1}{3} \\ - \frac{1}{3} & - \frac{1}{3} & x \end{array}]$
4964	Find the Eigenvalues	[[x,y,z],[2x,y,z],[x,y,z]]	$[\begin{array}{c} x & y & z \\ 2 x & y & z \\ x & y & z \end{array}]$
4965	Find the Characteristic Equation	(A^t-6I)^-1=[[0,1],[1,0]]	${(A^{t} - 6 I)}^{- 1} = [\begin{array}{c} 0 & 1 \\ 1 & 0 \end{array}]$
4966	Find the Characteristic Equation	[[( square root of y- square root of x)/(xy)]]^-1	${[\begin{array}{c} \frac{\sqrt{y} - \sqrt{x}}{x y} \end{array}]}^{- 1}$
4967	Find the Characteristic Equation	2x-3i=[[7,4],[6,5]]	$2 x - 3 i = [\begin{array}{c} 7 & 4 \\ 6 & 5 \end{array}]$
4968	Find the Characteristic Equation	-3A=[[-9,-1],[-2,-3]]	$- 3 A = [\begin{array}{c} - 9 & - 1 \\ - 2 & - 3 \end{array}]$
4969	Find the Characteristic Equation	[[0.2,0.3],[0.8,0.7]]	$[\begin{array}{c} 0.2 & 0.3 \\ 0.8 & 0.7 \end{array}]$
4970	Find the Characteristic Equation	[[0.66-0.01,-0.73],[0.1,-0.1-0.01]]	$[\begin{array}{c} 0.66 - 0.01 & - 0.73 \\ 0.1 & - 0.1 - 0.01 \end{array}]$
4971	Find the Characteristic Equation	[[-1,0,1],[-1,4,0],[-4,8,-1]]	$[\begin{array}{c} - 1 & 0 & 1 \\ - 1 & 4 & 0 \\ - 4 & 8 & - 1 \end{array}]$
4972	Find the Characteristic Equation	[[1,2],[2,1]]	$[\begin{array}{c} 1 & 2 \\ 2 & 1 \end{array}]$
4973	Find the Eigenvalues	[[4,2,3,3],[0,2,h,3],[0,0,4,14],[0,0,0,2]]	$[\begin{array}{c} 4 & 2 & 3 & 3 \\ 0 & 2 & h & 3 \\ 0 & 0 & 4 & 14 \\ 0 & 0 & 0 & 2 \end{array}]$
4974	Find the Eigenvalues	[[4,3],[2,3]]	$[\begin{array}{c} 4 & 3 \\ 2 & 3 \end{array}]$
4975	Find the Eigenvalues	[[4,4,4,4],[4,4,4,4],[4,4,4,4],[4,4,4,4]]	$[\begin{array}{c} 4 & 4 & 4 & 4 \\ 4 & 4 & 4 & 4 \\ 4 & 4 & 4 & 4 \\ 4 & 4 & 4 & 4 \end{array}]$
4976	Find the Eigenvalues	[[4,5,4,6],[5,6,1,0],[6,9,8,7],[4,5,6,2]]	$[\begin{array}{c} 4 & 5 & 4 & 6 \\ 5 & 6 & 1 & 0 \\ 6 & 9 & 8 & 7 \\ 4 & 5 & 6 & 2 \end{array}]$
4977	Find the Eigenvalues	[[4,-6,-2],[2,-9,-4],[-4,2,-2]]	$[\begin{array}{c} 4 & - 6 & - 2 \\ 2 & - 9 & - 4 \\ - 4 & 2 & - 2 \end{array}]$
4978	Find the Eigenvalues	[[-5,0,0,0],[0,-5,5,5],[5,0,-2,-2],[-5,0,2,2]]	$[\begin{array}{c} - 5 & 0 & 0 & 0 \\ 0 & - 5 & 5 & 5 \\ 5 & 0 & - 2 & - 2 \\ - 5 & 0 & 2 & 2 \end{array}]$
4979	Find the Eigenvalues	[[5,0,-1,0],[1,3,0,0],[2,-1,3,0],[4,-2,2,4]]	$[\begin{array}{c} 5 & 0 & - 1 & 0 \\ 1 & 3 & 0 & 0 \\ 2 & - 1 & 3 & 0 \\ 4 & - 2 & 2 & 4 \end{array}]$
4980	Find the Eigenvalues	[[5,-3,0,2],[0,2,4,-1],[0,0,2,3],[0,0,0,5]]	$[\begin{array}{c} 5 & - 3 & 0 & 2 \\ 0 & 2 & 4 & - 1 \\ 0 & 0 & 2 & 3 \\ 0 & 0 & 0 & 5 \end{array}]$
4981	Find the Eigenvalues	[[5,7,-5],[0,4,-1],[2,8,-3]]	$[\begin{array}{c} 5 & 7 & - 5 \\ 0 & 4 & - 1 \\ 2 & 8 & - 3 \end{array}]$
4982	Find the Eigenvalues	[[6,0,0],[-5,-13,0],[9,7,4]]	$[\begin{array}{c} 6 & 0 & 0 \\ - 5 & - 13 & 0 \\ 9 & 7 & 4 \end{array}]$
4983	Find the Eigenvalues	[[-6,-4,10],[2,4/3,-10/3],[6,4,10]]	$[\begin{array}{c} - 6 & - 4 & 10 \\ 2 & \frac{4}{3} & - \frac{10}{3} \\ 6 & 4 & 10 \end{array}]$
4984	Find the Eigenvalues	[[2,2,1],[x,-9,0],[1,2,1]]	$[\begin{array}{c} 2 & 2 & 1 \\ x & - 9 & 0 \\ 1 & 2 & 1 \end{array}]$
4985	Solve Using an Inverse Matrix	8x-5y=3 , 16x-10y=6	$8 x - 5 y = 3$ , $16 x - 10 y = 6$
4986	Find the Eigenvalues	[[2,2,1],[1,3,1],[1,2,2]]	$[\begin{array}{c} 2 & 2 & 1 \\ 1 & 3 & 1 \\ 1 & 2 & 2 \end{array}]$
4987	Find the Eigenvalues	[[2,8,-20],[2,2,-10],[2,4,-12]]	$[\begin{array}{c} 2 & 8 & - 20 \\ 2 & 2 & - 10 \\ 2 & 4 & - 12 \end{array}]$
4988	Find the Eigenvalues	[[23,-5],[65,-7]]	$[\begin{array}{c} 23 & - 5 \\ 65 & - 7 \end{array}]$
4989	Find the Eigenvalues	[[3,0,0],[-3,9,18],[2,-3,-6]]	$[\begin{array}{c} 3 & 0 & 0 \\ - 3 & 9 & 18 \\ 2 & - 3 & - 6 \end{array}]$
4990	Find the Eigenvalues	[[3,0,2,0],[5,1,8,0],[3,-3,2,0],[2,-2,0,2]]	$[\begin{array}{c} 3 & 0 & 2 & 0 \\ 5 & 1 & 8 & 0 \\ 3 & - 3 & 2 & 0 \\ 2 & - 2 & 0 & 2 \end{array}]$
4991	Find the Eigenvalues	[[3,0],[1,2]]	$[\begin{array}{c} 3 & 0 \\ 1 & 2 \end{array}]$
4992	Find the Eigenvalues	[[3,0],[1,-2]]	$[\begin{array}{c} 3 & 0 \\ 1 & - 2 \end{array}]$
4993	Find the Eigenvalues	[[3,1,0,0],[1,3,0,0],[0,0,0,0],[0,0,0,0]]	$[\begin{array}{c} 3 & 1 & 0 & 0 \\ 1 & 3 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \end{array}]$
4994	Find the Eigenvalues	[[3,-4,0,6],[0,2,3,-7],[0,0,6,8],[0,0,0,3]]	$[\begin{array}{c} 3 & - 4 & 0 & 6 \\ 0 & 2 & 3 & - 7 \\ 0 & 0 & 6 & 8 \\ 0 & 0 & 0 & 3 \end{array}]$
4995	Find the Eigenvalues	[[3,7,10,0],[0,1,2,5],[1,2,1,0],[2,0,10,4]]	$[\begin{array}{c} 3 & 7 & 10 & 0 \\ 0 & 1 & 2 & 5 \\ 1 & 2 & 1 & 0 \\ 2 & 0 & 10 & 4 \end{array}]$
4996	Find the Eigenvectors/Eigenspace	[[1,-1,0],[2,2,1],[0,16,-1]]	$[\begin{array}{c} 1 & - 1 & 0 \\ 2 & 2 & 1 \\ 0 & 16 & - 1 \end{array}]$
4997	Find the Eigenvectors/Eigenspace	[[1,1],[1,1]]	$[\begin{array}{c} 1 & 1 \\ 1 & 1 \end{array}]$
4998	Find the Eigenvectors/Eigenspace	[[1,1],[-2,4]]	$[\begin{array}{c} 1 & 1 \\ - 2 & 4 \end{array}]$
4999	Find the Eigenvectors/Eigenspace	A=[[1,1,4],[0,-4,0],[-5,-1,-8]]	$A = [\begin{array}{c} 1 & 1 & 4 \\ 0 & - 4 & 0 \\ - 5 & - 1 & - 8 \end{array}]$
5000	Find the Eigenvectors/Eigenspace	a=[[2,-1],[-2,3]]	$a = [\begin{array}{c} 2 & - 1 \\ - 2 & 3 \end{array}]$