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If A = {:[(2,0,1),(2,1,3),(1,-1,0)], the...

If `A = {:[(2,0,1),(2,1,3),(1,-1,0)]`, then find `A^2 - 5A 6I`

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If A = [[2,0,1],[2,1,3],[1,1,0]] then find A^2-2A+5I .

If A = [[2,0,1],[2,-1,3],[1,1,0]] then find A^2-3A+2I .

If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] find A^(2)-5A+4I and find a matrix X such that A^(2)-5A+4I+X=O

If A= [[2,0,1],[2,1,3],[1,-1,0]] , find A^2-5A+6I=O

If P = {:[(1,2,-2),(-1,3,0),(0,-2,1)] , find P^-1 . Verify that PP^-1= I .

If A = {:[(1,0,2),(0,2,1),(2,0,3)] and A^3-6A^2+7A+ kI_3 = O , find k.

PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Show that: [[5,-1],[6,7]][[2,1],[3,4]] ne [[2,1],[3,4]][[5,-1],[6,7]]

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  2. Show that: [[1,2,3],[0,1,0],[1,1,0]][[-1,1,0],[0,-1,1],[2,3,4]] ne [[...

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  3. If A = {:[(2,0,1),(2,1,3),(1,-1,0)], then find A^2 - 5A 6I

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  4. If A = [[1,0,2],[0,2,1],[2,0,3]] , prove that A^3 -6A^2 +7A + 2I = 0

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

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

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

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

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

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

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

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

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

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  14. 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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  15. 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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  16. If A' = [(3,4),(-1,2),(0,1)] and B = [(-1,2,1),(1,2,3)], then porve th...

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

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

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

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

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