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If A = [(3,-2),(4,-2)] , I = [(1,0),(0,...

If ` A = [(3,-2),(4,-2)] , I = [(1,0),(0,1)]` , then Prove that ` A^(2) = A - 2I `

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The correct Answer is:
K = 1
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BETTER CHOICE PUBLICATION-MATRICES-Previous years Board Questions for practice
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  2. If A = [(2,-2),(-3,4)] , find - A^(2) + 6 A

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  3. If A = [(3,-2),(4,-2)] , I = [(1,0),(0,1)] , then Prove that A^(2) ...

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  4. If A = [(1,0),(-1,7)] and I = [(1,0),(0,1)] , then find k so that A...

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  5. Find a 2xx2 order matrix B such that [[2,3],[0,1]] B=[[12,11],[2,1]]

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

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  7. If A = [(3,4),(4,5)] , B = [(5,3),(2,1)] then verify that (AB)' = B' ...

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  8. If A = [(2,4),(3,5)] and B = [(5,4),(3,2)] then verify that (AB)' = B...

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  9. Express the matrix A = [(-2,3,1),(1,3,2),(5,-4,5)] as the sum of a sy...

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  10. Express the following as sum of symmetric and skew symmetric matri...

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  11. Express the following as sum of symmetric and skew symmetric matri...

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  12. Express the following as sum of symmetric and skew symmetric matri...

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  13. Express the following as sum of symmetric and skew symmetric matri...

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  14. By using elementary transformations, find the inverse of the matrix : ...

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  15. Using elementary find the inverse of the following matrices [(-6,5...

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  16. Using elementary transformations find the inverse of the matrix. [[1,3...

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  17. Using elementary find the inverse of the following matrices [(-4,3...

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  18. Using elementary find the inverse of the following matrices [(1,-2...

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  19. Using elementary find the inverse of the following matrices [(1,3)...

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  20. Find the values of a, b, c and d from the following equation : [[2a+b,...

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