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If A= ((3,-4),(1,-1)), then prove by Mat...

If `A= ((3,-4),(1,-1))`, then prove by Mathematical Induction that : `A^n = ((1+2n,-4n),(n,1-2n))`, where `n in N`

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PSEB-MATRICES-Exercise
  1. Using elementary transformations, find the inverse of each of the matr...

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

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

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

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

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  6. Matrices A and B will be inverse of each other only if:

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  7. Let A = [[0,1],[0,0]] , show that (aI + bA)^n = a^nI + na^(n-1) bA, w...

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  8. If A = [[1,1,1],[1,1,1],[1,1,1]], prove that A^n = [[3^(n-1),3^(n-1),3...

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  9. If A= ((3,-4),(1,-1)), then prove by Mathematical Induction that : A^n...

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  10. If A and B are symmetric matrices, prove that AB – BA is a skew symmet...

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  11. Show that the matrix BAB) is symmetric or skew symmetric according as ...

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  12. Find the values of x, y, z if the matrix A = [[0,2y,z],[x,y,-z],[x,-y,...

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  13. For what values of x : [[1,2,1]][[1,2,0],[2,0,1],[1,0,2]][[0],[2],[x]]...

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  14. If A = [[3,1],[-1,2]], show thatA^2-5A +7I = O

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  15. ਜੇਕਰ [[x,-5,-1]][[1,0,2],[0,2,1],[2,0,3]][[x],[4],[1]]=O ਹੈ ਤਾਂ x ਦਾ ਮ...

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  16. ਮੈਟ੍ਰਿਕਸ X ਪਤਾ ਕਰੋ ਜੇਕਰ X[[1,2,3],[4,5,6]] = [[-7,-8,-9],[2,4,6]] ਹੈ।

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  17. f A and B are square matrices of the same order such that AB = BA, the...

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  18. . If A = [[alpha,beta],[gamma,-alpha]] is such that A^2 = I, then:

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  19. If the matrix A is both symmetric and skew symmetric, then :

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  20. If A is square matrix such that A^2 = A,then (I+A)^3-7A is equal to:

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