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[(1,3,-2),(-3,0,-5),(2,5,0)] =A [(1,0,0)...

`[(1,3,-2),(-3,0,-5),(2,5,0)] =A [(1,0,0),(0,1,0),(0,0,1)]` then, `C_(2) rarr C_(2)-3C_(1) and C_(3) rarr C_(3) +2C_(1)` gives

A

`[(1,0,0),(3,-9,11),(-2,1,4)] =A [(-1,3,2),(0,-1,0),(0,0,-1)]`

B

`[(1,0,0),(-3,-1,-4),(2,-9,11)] =A [(1,-3,2),(0,1,0),(0,0,1)]`

C

`[(1,0,0),(-3,1,4),(-2,9,-11)] =A [(-1,3,2),(0,-1,0),(0,0,-1)]`

D

`[(1,0,0),(-3,9,-11),(2,-1,4)] =A [(1,-3,2),(0,1,0),(0,0,1)]`

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D
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TARGET PUBLICATION-MATRICES-CRITICAL THINKING ( 2. 1 Elementary Transformations)
  1. [(1,3,-2),(-3,0,-5),(2,5,0)] =A [(1,0,0),(0,1,0),(0,0,1)] then, C(2) ...

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  2. If A=[(2,-3,3),(2,2,3),(3,-2,2)] then C(2)rarrC(2)+2C(1) and then ...

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  3. If A=[(1,2,1),(3,2,3),(2,1,2)] , then a(11) A(11)+a(21) A(21)+a(31) A(...

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  4. Adjoint of the matrix N=[[-4, -3, -3], [1, 0, 1], [4, 4, 3]] is

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  5. If A=[(3,2),(7,5)], B=[(6,7),(8,9)] , then adj (AB) is equal to

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  6. If A={:[(4,2),(3,4)],:}" then: "|adj.A|=

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  7. If A=[(1,2,3),(1,4,9),(1,8,27)], then | adj A| is equal to

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  8. For a invertible matrix A if A (adj A) =[(10,0),(0,10)] then |A...

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  9. If A is a singular matrix, then adj A is a. singular b. non singula...

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  10. If A is a singular matrix of order n, then A(adjA)=

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  11. If A=[(a,b),(c,d)], then adj(adjA) is equal to

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  12. Using elementary transformations, find the inverse of the matrix : ...

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  13. The inverse of the matrix A[(1,1,1),(6,7,8),(6,7,-8)] using adjoint me...

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  14. If D=diag [2, 3, 4], then D^(-1)=

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  15. The matrix A satisfying A[[1, 5], [0, 1]]=[[3, -1], [6, 0]] is

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  16. If product of matrix A with [(1,1),(2,0)] is [(3,2),(1,1)] then A^(-1)...

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  17. If product of matrix A with [(0,1),(2,-4)] is [(3,2),(1,1)] , then A^(...

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  18. if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}],"then" A=?

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  19. If the product of the matrix B=[(2,6,4),(1,0,1),(-1,1,-1)] with a m...

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  20. If P=[(1,2,4),(3,1,0),(0,0,1)], Q=[(1,-2,-3),(-3,1,9),(0,0,-5)]then (P...

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