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If matrix A = ( 1 2 3) , write AA', Whe...

If matrix A = ( 1 2 3) , write AA', Where A' is the transpose of matrix A.

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MODERN PUBLICATION-MATRICES-EXERCISE
  1. For what value of 'x', is the matrix: A = {:[(0,1,-2),(-1,0,3),(x,-3...

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  2. If A = {:[(-1,1,0),(0,-1,1),(2,3,4)], verify that: 3/4A' = (3/4A)'

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  3. If matrix A = ( 1 2 3) , write AA', Where A' is the transpose of matr...

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  4. Consider a 2xx2 matrix A = [a(ij)], where a(ij) = ((i+2j)^2)/2. Find A...

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  5. 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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  6. If A = [[-1,2,3],[5,7,9],[-2,1,1]] andB = [[-4,1,-5],[1,2,0],[1,3,1]] ...

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

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  8. If A' = {:[(3,4),(-1,2),(0,1)] and B =[(-1,2,1).(1,2,3], then verify t...

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  9. If A' = {:[(3,4),(-1,2),(0,1)] and B = [(-1,2,1),(1,2,3)], then verify...

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

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

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

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

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

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

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

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

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

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

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

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