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Let A and B be two 3x2 matrices, where...

Let A and B be two 3x2 matrices, where
`a_(i j) = i + j` and `b_(i j) = i - j` Construct A and B

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A N EXCEL PUBLICATION-MATRICES-QUESTION BANK
  1. Write two non-zero matrices A and B for which AB=0.

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

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

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

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

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

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

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

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  9. Consider the following statement P(n):A^n=[[cosntheta,sinntheta],[-s...

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  10. Consider the following statement P(n):A^n=[[cosntheta,sinntheta],[-s...

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  11. Consider the following statement P(n):A^n=[[cosntheta,sinntheta],[-s...

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  12. Let A=[[2,4],[3,2]] , B=[[1,3],[-2,5]] , C=[[-2,5],[3,4]] Find each ...

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  13. Let A=[[2,4],[3,2]] , B=[[1,3],[-2,5]] , C=[[-2,5],[3,4]] Find each ...

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  14. Let A=[[2,4],[3,2]] , B=[[1,3],[-2,5]] , C=[[-2,5],[3,4]] Find each ...

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  15. Let A=[[2,4],[3,2]] , B=[[1,3],[-2,5]] , C=[[-2,5],[3,4]] Find each ...

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  16. Let A=[[2,4],[3,2]] , B=[[1,3],[-2,5]] , C=[[-2,5],[3,4]] Find each ...

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  17. Compute the following: [[a,b],[-b,a]]+[[a,b],[b,a]]

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  18. Compute the following: [[a^2+b^2, b^2+c^2],[a^2+c^2, a^2+b^2]]+[[2ab...

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  19. Compute the following: [[-1,4,-6],[8,5,16],[2,8,5]]+[[12,7,6],[8,0,...

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  20. Compute the following: [[cos^2x, sin^2x],[sin^2x, cos^2x]]+[[sin^2x,...

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