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Consider the matrix A = [(1,2,1),(0,1,...

Consider the matrix
`A = [(1,2,1),(0,1,2),(-1,1,4)]`
Find `A A^T` and hence prove that `A A^T` is symmetric.

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A N EXCEL PUBLICATION-MATRICES-QUESTION BANK
  1. Consider the matrix A = [(1,2,1),(0,1,2),(-1,1,4)] Find A^T

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  2. Consider the matrix A = [(1,2,1),(0,1,2),(-1,1,4)] Find A A^T and ...

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  3. Consider the matrix A = [(1,2,1),(0,1,2),(-1,1,4)] Find A A^T and ...

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  4. Suppose A and B are two symmetric matrices. Prove that (AB)^T = BA

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  5. Suppose A and B are two symmetric matrices. If AB is symmetric, pro...

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  6. Suppose A and B are two symmetric matrices. If AB is symmetric, pro...

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  7. Find the transpose of each of each of the following matrics: [[5],[1...

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  8. Find the transpose of each of each of the following matrics: [[1,2],[...

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  9. Find the transpose of each of each of the following matrics: [[-1,5,...

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  10. 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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  11. 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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  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^T=[[3,4],[-1,2],[0,1]] and B=[[-1,2,1],[1,2,3]] then verify that ...

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  14. If A^T=[[-2,3],[1,2]] and B^T=[[-1,0],[1,2]] then find (A+2B)^T

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  15. For matrics A and B, verify that (AB)^T=B^T . A^T, where A=[[0],[1],...

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  16. For matrics A and B, verify that (AB)^T=B^T . A^T, where A=[[0],[1],...

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  17. If A^T=[[cosx,sinx],[-sinx,cosx]],Verify that A^TA=I

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  18. if A=[[sin alpha, cos alpha],[-cos alpha, sin alpha]], then verify A^T...

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  19. show that the matrix A= [[1,-1,5],[-1,2,1],[5,1,3]] is a symmetric mat...

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  20. show that the matrix A=[[0,1,-1],[-1,0,1],[1,-1,0]] is a skew symmetri...

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