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Find x, y, z and w if [[x-y, 2x+z],[2x...

Find x, y, z and w if
` [[x-y, 2x+z],[2x-y, 3z+w]]=[[-1,5],[0,13]]`

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A N EXCEL PUBLICATION-MATRICES-QUESTION BANK
  1. A=[aij](mxxn) is a square matrix, if a) m=n b) m>n c) m< n d) none o...

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  2. The number of all possible 2xx2 matrices with entries 0 or 1 is

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  3. Find x, y, z and w if [[x-y, 2x+z],[2x-y, 3z+w]]=[[-1,5],[0,13]]

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  4. Which of the given values of x and y make the following pair of matric...

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  5. Find a matrix X such that 2A + B +3X = 0 where A =[[-1,2],[3,4]], ...

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  6. If X-Y = [(1,1,1),(1,1,0),(1,0,0)] and X+Y = [(3,5,1),(-1,1,4),(11,8,0...

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  7. Find x and y satisfying the matrix equation [(x-y,2,-2),(4,x,6)] + [...

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  8. Consider p(x) = 4x^3-5x^2+10x+4 and A = [(1,2),(0,1)]. Find p(A)

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  9. Consider A = [(4,5,6,9),(2,-1,6,5)] Find 2A

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  10. Consider A = [(4,5,6,9),(2,-1,6,5)] Find 3A

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  11. Consider A = [(4,5,6,9),(2,-1,6,5)] Find 2A

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  12. Write two matrices A and B for which AB exists but BA does't exist

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  13. Write two matrices A and B for which neither AB nor BA exists

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  14. Write two non-zero matrices A and B for which AB=0.

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  15. Write two matrices A and B for which AB = 0 but BA ne 0

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  16. Let A and B be two 3x2 matrices, where a(i j) = i + j and b(i j) =...

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  17. Let A and B be two (3x2) matrices, where a(i j) = i + j and b(i j) ...

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  18. Let A and B be two matrices,of order 3*2 where a(i j) = i + j and b(...

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  19. Given A = [(3,2,0),(1,4,0),(0,0,5)] Find A^2

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  20. Given A = [(3,2,0),(1,4,0),(0,0,5)] Prove that A^2 -7A +10I3 = 0

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