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

If A ` = [(1),(-4),(3)] , B = [(-1,2,1)]` verify that (AB)' = B' A'

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MODERN PUBLICATION-MATRICES-EXERCISE
  1. If X' = {:[(3,4),(-1,2),(0,1)] and Y = [(-1,2,1),(1,2,3)], then find X...

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  2. If A = {:[(0),(1),(2)], B = [1,5,7], verify that (AB)' = B'A'.

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  3. If A = [(1),(-4),(3)] , B = [(-1,2,1)] verify that (AB)' = B' A'

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  4. If A = {:[(3),(-1),(5)], B = [-6,7,10], verify that : (AB)' = B'A'.

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  5. Show that the matrix A = [[1,-1,5],[-1,2,1],[5,1,3]] is a symmetric m...

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  6. Show that the matrix A = [[0,1,-1],[-1,0,1],[1,-1,0]] is a skew symmet...

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  7. By using properties of determinants, Show that : {:|(0,a,-b),(-a,0,-...

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  8. Show that A + A^T is symmetric matrix, where A^T denotes the tranpose ...

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  9. Show that A + A^T is symmetric matrix, where A^T denotes the tranpose ...

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  10. Show that A + A^T is symmetric matrix, where A^T denotes the tranpose ...

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  11. Show that A - A^T is symmetric matrix, where A^T denotes the tranpose ...

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  12. A matrix denotes a number

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  13. Check whether A - A^T is symmetric matrix, where A^T denotes the tranp...

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  14. Express the matrix A as sum of symmetric and skew symmetric matrix ...

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  15. If A = {:[(1,2,3),(-1,0,2),(1,-8,-1)], B = [(4,5,6),(-1,0,1),(2,1,2)],...

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  16. If A = [[cos alpha,sin alpha],[-sin alpha,cos alpha]] , then verify th...

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  17. If A = [[sin alpha,cos alpha],[-cos alpha,sin alpha]], then verify tha...

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  18. Show that (AB)' = B'A' A = {:[(-1,3,0),(-7,2,8)], B = [(-5,0),(0,3),...

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  19. Show that (AB)' = B'A' A = {:[(3,4),(4,5)], B = [(5,3),(2,1)].

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  20. If A = {:[(-5,1),(6,8)], B = [(2,1),(3,4)], C = [(1,3),(-1,4)] verify ...

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