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

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

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If A = [[1,2,-3],[5,0,2],[1,-1,1]], B = [[3,-1,2],[4,2,5],[2,0,3]] and C = [[4,1,2],[0,3,2],[1,-2,3]] , then compute (A+B) and (B-C) . Also, verify that A + (B-C) = (A + B) - C .

Compute the indicated products: [[3,-1,3],[-1,0,2]][[2,-3],[1,0],[3,1]]

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

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If A = [[1,1,-1],[2,0,3],[3,-1,2]], B = [[1,3],[0,2],[-1,4]] and C = [[1,2,3,-4],[2,0,-2,1]] , find A(BC) , (AB)C and show that (AB)C = A(BC)

Solve the matrix equation : ([1,1,x])([1,0,2],[0,2,1],[2,1,0])((1),(1),(1))=(0)

If A_(0) = [[2 ,-2,-4],[-1,3,4],[1,-2,-3]] and B_(0) [[-4,-4,-4],[1,0,1],[4,4,3]] then find A_0 +B_0

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. If F (x) = [[cos x,-sin x,0],[sin x, cos x, 0],[0,0,1], then show that...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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