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A = [[3,-5],[-4,2]], verify that A^2-5A-...

A = `[[3,-5],[-4,2]]`, verify that `A^2`-5A-14I=0, hence find `A^(-1)

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If A = [[3,-5],[-4,2]] ,show that A^2 -5A-14I =0.

If A=([2,-1],[1,3]) then show that A^2-5A+7I_2=0 hence find A^(-1)

If A = [[3,1],[-1,2]],I= [[1,0],[0,1]] and O = [[0,0],[0,0]] show that A^2-5A+7I=0 . Hence find A^(-1) .

If A= {:[( 2,-1,1),(-1,2,-1),(1,-1,2) ]:} Verify that A^(3) -6A^(2) +9A -4I=O and hence find A^(-1)

If A= {:[( 3,1),( -1,2) ]:} Show that A^(2) -5A +7I =O.Hence find A^(-1)

Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equation A^2-4A-5I_3=O and hence find A^(-1)

If A={:[(3,-5),(-4,2)], find A^(2)-5A-14I.

If A=({:(2,-1),(1,3):}) , then show that A^2-5A+7I_2=0 : hence find A^(-1) .

If A = ((3,1),(-1,2)), I = ((1,0),(0,1)) and O = ((0,0),(0,0)) show that, A^(2) - 5A + 7I = O . Hence find A^(-1) .

If A = [(-3,-4),(4,5)] and B = [(2,-3),(5,-8)] , verify that (AB)^(-1) = B^(-1)A^(-1) .

PATHFINDER-MATRICES-QUESTION BANK
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  3. If A=[[2,-2],[4,2],[-5,1]]B=[[8,0],[4,-2],[3,6]]find the martrix X,suc...

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  4. Solve the matrix equation , [(x^2),(y^2)]-3 [(x),(2y)]=[(-2),(9)]

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  7. Find the inveres of [[1,2,4],[3,-19,7],[2,4,8]], if exists.

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  8. A and B are non-singular matrices of same order then show that adj(AB)...

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  9. If A = [[3,-5],[-4,2]],show that A^2-5A-14I =0.

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  10. If A =[[costheta,sintheta],[-sintheta,costheta]] then prove that A^n=[...

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  11. If A = [1,3,4],B=[[2,1],[3,7],[6,8]], C=[[3,4],[5,6],[1,0]] verify tha...

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  14. Let A = [[0,-tanalpha//2],[tanalpha//2,0]] and I, the indentity matrix...

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  15. Show that I+A =(I+A)*I

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  16. If A=[[2,-2],[4,2],[-5,1]]B=[[8,0],[4,-2],[3,6]]find the martrix X,suc...

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  17. If A=[[1,2],[-4,2]], then verify that A (adjA)=(adjA)A =abs(A)I2

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  18. A = [[3,-5],[-4,2]], verify that A^2-5A-14I=0, hence find A^(-1)

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  19. Find A^(-1) if A = [1,2,-3][2,3,2] [3,-3,-4] Hence solve the equations...

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  20. Obtain the inverse of the following matrix using elementary operations...

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