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If A = [ (3,-2),(4,-2)] and I = [(1,0),(...

If `A = [ (3,-2),(4,-2)] and I = [(1,0),(0,1)]` , then find k so that `A^(2) = kA - 2I`

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PRADEEP PUBLICATION-MATRICES-EXERCISE
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  2. If A = [[1,0,2],[0,2,1],[2,0,3]] , prove that A^3 -6A^2 +7A + 2I = 0

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  3. If A = [ (3,-2),(4,-2)] and I = [(1,0),(0,1)] , then find k so that A...

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  4. If A = [[0,-tan alpha/2],[tan alpha/2,0]] and I is the identity matrix...

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  5. A trust fund has Rs. 30,000 that must be invested in two different typ...

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  6. A trust fund has Rs. 30,000 that must be invested in two different typ...

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  7. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

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  8. Assume X, Y, Z, W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx3 ...

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  9. Find the transpose of each of the followig matrices. [(5),(1/2),(-1)...

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  10. Find the transpose of each of the followig matrices. [(1,-1),(2,3)]

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  11. Find the transpose of each of the following matrices: {:[(-1,5,6),(s...

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  12. If A = {:[(-1,2,3),(5,7,9),(-2,1,1)] and B = [(-4,1,-5),(1,2,0),(1,3,1...

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  13. If A = [[-1,2,3],[5,7,9],[-2,1,1]] and B = [[-4,1,-5],[1,2,0],[1,3,1]]...

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  14. If A' = [(3,4),(-1,2),(0,1)] and B = [(-1,2,1),(1,2,3)], then porve th...

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  15. If A' = [(3,4),(-1,2),(0,1)] and B = [(-1,2,1),(1,2,3)], then porve th...

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  16. If A' = [(-2,3),(1,2)] and B = [(-1,0),(1,2)] then find (A+2B)'

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  17. For the matrices A and B, verify that (AB)' = B'A', where : A = [[1],[...

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  18. For the matrices A and B, verify that (AB)' = B'A', where : A = [[0],[...

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  19. If A = [(cos alpha , sin alpha),(-sinalpha, cosalpha)], verify that AA...

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  20. If A = {:[(sinalpha, cosalpha),(-cosalpha,sinalpha)], then prove that ...

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