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Find A^2-5A+6I, if A=[[2,0,1],[2,1,3],[1...

Find `A^2-5A+6I`, if `A=[[2,0,1],[2,1,3],[1,-1,0]]`

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Find A^2-5 A+6 I , if A=[[2, 0, 1],[ 2 ,1 , 3],[ 1, -1, 0]]

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Find A^2-5A+6I if A=[(2,5,8),(6,0,5),(0,-2,0)]

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Find the adjoint of B= [[1,-1,2],[2,3,5],[-2,0,1]]

For the matrix A= [[1,1,1],[1,2,-3],[2,-1,3]] show that A^3-6A^2+5A+11I=0. Hence, find A^(-1)

IF A=[[2,4,3],[1,0,6],[0,-2,-3]] , Find A^T

IF A=[[2,4,3],[1,0,6],[0,-2,-3]] , Find 3A .

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Show that i) [[5 , (-1)],[ 6, 7]][[2, 1],[ 3 ,4]] ne[[2 , 1 ],[3 , 4]][[5, (-1)],[ 6 ,7]] ii) [[1, 2 , 3],[ 0 , 1, 0],[ 1 , 1, 0]][[(-1), 1, 0],[ 0, (-1), 1],[ 2, 3, 4]] ne[[(-1), 1, 0],[ 0, (-1), 1],[ 2, 3, 4]] [[1 , 2, 3],[ 0, 1, 0],[ 1, 1, 0]] .

A N EXCEL PUBLICATION-MATRICES-QUESTION BANK
  1. Show that [[5,-1],[6,7]] [[2,1],[3,4]] ne [[2,1],[3,4]] [[5,-1],...

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  2. Show that [[1,2,3],[0,1,0],[1,1,0]] [[-1,1,0],[0,-1,1],[2,3,4]] ne [...

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  3. Find A^2-5A+6I, if A=[[2,0,1],[2,1,3],[1,-1,0]]

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  4. Consider the matrices A=[[2,3],[4,5]] Prove thatA^2-7A-2I=0

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  5. If A=[[3,-2],[4,-2]] and I=[[1,0],[0,1]], find k so that A^2=kA-2I

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  6. If A=[[0, -tan (alpha/2)], [ tan (alpha/2), 0]] and I is the identi...

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  7. A trust fund has Rs. 30,000 that must be invested in two different typ...

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  8. A trust fund has Rs. 30,000 that must be invested in two different typ...

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  9. The bookshop of a particular school has 10 dozen chemistry books, 8 do...

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  10. Assume that X,Y,Z,W and P are matrices of order 2xxn, 3xxk, 2xxp, nx...

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  11. Assume that X,Y,Z,W and P are matrices of order 2xxn, 3xxk, 2xxp, nxx...

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  12. Consider A = [(4,0,-1),(0,8,4),(-1,4,9)] Find A^T

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  13. Express A=[[7,3,-5],[0,1,5],[-2,7,3]] as the sum of a symmetric and a ...

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  14. Consider the matrix A = [(1,2,1),(0,1,2),(-1,1,4)] Find A^T

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  15. Consider the matrix A = [(1,2,1),(0,1,2),(-1,1,4)] Find A A^T and ...

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  16. Consider the matrix A = [(1,2,1),(0,1,2),(-1,1,4)] Find A A^T and ...

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  17. Suppose A and B are two symmetric matrices. Prove that (AB)^T = BA

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  18. Suppose A and B are two symmetric matrices. If AB is symmetric, pro...

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  19. Suppose A and B are two symmetric matrices. If AB is symmetric, pro...

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  20. Find the transpose of each of each of the following matrics: [[5],[1...

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