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If A=[[-2],[4],[5]] B=[[1,3,6]] (AB)^T...

If `A=[[-2],[4],[5]]` `B=[[1,3,6]]`
`(AB)^T=B^TA^T`

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If A=[[-2],[4],[5]] B=[[1,3,6]] Find (AB)^T

If A=[[-2],[4],[5]] B=[[1,3,6]] Find A^T , B^T

Let A=[[1,2,-3],[2,1,-1]] B=[[2,3],[5,4],[1,6]] Verify that (AB)^T=B^TA^T

A=[[2,3],[4,5],[2,1]] B=[[1,-2,3],[-4,2,5]] Find AB

Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Show that (AB)^T=B^TA^T

A=[[-1,0,2],[4,0,-3]] , B=[[0,2],[-1,3],[0,4]] Verify (AB)^T=B^TA^T

Let A=[[1,2,-3],[2,1,-1]] B=[[2,3],[5,4],[1,6]] Find A^T , B^T & (AB)^T

For the matrices A and B verify that, (AB)^'=B^' A^' , where i) A=[[1 ],[ -4], [ 3]] , B=[[-1,2, 1]] ii) A=[[0], [ 1], [2]], B=[[1, 5, 7]]

Let A=[[1,2],[3,4]] , B=[[2,1],[4,5]] , C=[[1,-1],[0,2]] Find AB and BA

If A^T=[[3,4],[-1,2],[0,1]] and B=[[-1,2,1],[1,2,3]] then verify that (A-B)^T=A^T-B^T

V PUBLICATION-MATRICES-QUESTION BANK
  1. Assume that X,Y,Z,W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx...

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  2. If A=[[3 ,sqrt3, 2],[ 4 , 2, 0]] and B=[[2 , (-1), 2],[ 1, 2, 4...

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  3. If A=[[-2],[4],[5]] B=[[1,3,6]] (AB)^T=B^TA^T

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  4. For any square matrix A with real number entries.Prove that A+A^' is a...

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  5. Prove that any square matrix can be expressed as the sum of a symmetic...

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  6. Express the matrix [[2,-2,-4],[-1,3,4],[1,-2,-3]] as the sum of a ...

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  7. Find the transpose of each of the following matrices: (i) [[5], [1/2]...

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  8. If A=[[-1, 2, 3],[ 5, 7, 9],[ -2, 1 , 1]] and B=[[-4 , 1, -5],[ ...

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  9. If A^'=[[3, 4],[ -1, 2],[ 0, 1]] and B=[[-1, 2 , 1],[ 1,2, 3]] ...

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

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  11. For the matrices A and B verify that, (AB)^'=B^' A^', where i) A=[[1...

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

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

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  14. For the matrix A=[[1 , 5],[ 6 , 7]], verify that i) (A+A^') is a sym...

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  15. Find 1/2 (A+A^T) and 1/2(A-A^T) where A=[[0,a,b],[-a,0,c],[-b,-c,0]]

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  16. Express the following matrices as the sum of a Symmetric and a Skew Sy...

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  17. If A, B are symmetric matrices of same order, then AB-BA is a A) skew...

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  18. If A=[[cos alpha, -sin alpha],[sin alpha, cos alpha]], then A+A^T=I if...

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  19. Find P^(-1), if it exists, given P = [(10,-2),(-5,1)]

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  20. Find the inverse of each of the matrices using elementary operations [...

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