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Using elementary transformations find th...

Using elementary transformations find the inverse of matrix `A=[[1,-1],[2,3]]`

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The correct Answer is:
`[(3//5,1//5),(-2//5,1//5)]`
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BETTER CHOICE PUBLICATION-MATRICES-Assignment (Section IV) Short answer type questions
  1. If A= [(3,4),(2,3)], find A + A'

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

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  3. A' = [(-3,1),(2,1),(0,-2)] and B = [(1,2,-3),(2,3,-1)] Verify that (...

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  4. A' = [(-3,1),(2,1),(0,-2)] and B = [(1,2,-3),(2,3,-1)] Verify that (...

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

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  6. If A = [(3),(5),(2)] and B=[(1,0,4)] find (AB)'

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  7. If [(2 x + y, 3 y),(0,4)]= [(6,0),(6,4)] then find x

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  8. If A = [(1,2),(6,5)] B = [(2,5),(-3,4)] , verify that (AB)' = B' A'

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  9. If A = [(2),(-3),(5)] , B = [(2,-4,7)] , verify that (AB)' = B'A'

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  10. If A = [(-2,0,5),(3,8,7)], B = [(-1,0),(2,3),(1,4)] , verify that (AB...

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  11. Show that the matrix A = [(2,0,-5),(0,3,7),(-5,7,2)] is a symmetric m...

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  12. Show that the matrix A =[(0,3,-5),(-3,0,7),(5,-7,0)] is a skew symm...

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  13. For the matrix A = [(2,3),(4,5)] , verify that A + A' is a symmetr...

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  14. For the matrix A = [(2,3),(4,5)] , verify that A - A' is a skew sy...

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  15. Express [(1,5),(-1,2)] as the sum of a symmetric and skew symmetric ...

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  16. Using elementary transformations, find the inverse of each of the matr...

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  17. Using elementary transformations find the inverse of matrix A=[[1,-1],...

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  18. By elementary transformation find the inverse of following [(1,-2)...

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  19. By elementary transformation find the inverse of following [(3,10)...

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