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If A(theta) = [(cos theta,sin theta),(-s...

If `A(theta) = [(cos theta,sin theta),(-sin theta,cos theta)]` then prove that `A^(2)(theta) = A(2 theta)`

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-MATRICES
  1. If A = [(a,b),(c,d)] then find the value of |A|^(-1)

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  2. If A = [(3,1),(5,2)], and AB = BA = I, then find the matrix B.

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  3. If A(theta) = [(cos theta,sin theta),(-sin theta,cos theta)] then prov...

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

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  5. If A+l=[(3,-2),(4,1)] then (A+l)(A-l) is equal to

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  6. If A = [(2,-1,1),(-2,3,-2),(-4,4,-3)] then find A^(2)

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  7. If A=[(-2,4),(-1,2)] then A^(2) is equal to

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  8. If A = [(0,3,3),(-3,0,-4),(-3,4,0)] and B = [(x),(y),(z)], find the ma...

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  9. If f(x) = x^(2) - 2x - 3 then find f(A) when A = [(1,2),(2,1)]

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  10. If A = [(-1),(2),(3)],B = [(3,1,-2)], find B'A'

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  11. If A is an invertible matrix of order 3 and |A|=5 , then find |a d ...

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  12. If A = [(6,5),(5,6)] and B = [(11,0),(0,11)] then find A'B'

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

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  14. If A = [(2,0),(0,1)] and B = [(1),(2)] then find the matrix X such tha...

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  15. Find the matrix X such that AX = I where A = [(6,17),(1,3)]

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  16. Find A^(-1) using adjoint method, where A = [(cos theta,sin theta),(-s...

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  17. Find A^(-1) using column transformations : A = [(2,-3),(-1,2)]

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  18. Find the adjoint of matrix A = [(6,5),(3,4)]

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  19. Transform [(1,2,4),(3,-1,5),(2,4,6)] into an upper triangular matrix b...

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  20. If A = [(0,4,3),(1,-3,-3),(-1,4,4)], then find A^(2) and hence find A^...

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