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If A = [{:(3,2),(7,5):}] "and B" = [{:(-...

If A = `[{:(3,2),(7,5):}] "and B" = [{:(-1,-3),(5,2):}] "verify that" (AB)^(-1)=B^(-1)A^(-1).`

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If A=[{:(3,2),(7,5)],andB=[(-1,-3),(5,2):}] verify that (AB)^(-1)=B^(-1)A^(-1) .

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If A= {:[( 2,3),( 1,-4) ]:}and B = {:[( 1,-2),( -1,3) ]:} ,then verify that (AB)^(-1) =B^(-1) A^(-1)

If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)] , verify the (A-B)^(T)=A^(T)-B^(T)

If A=[[3,1],[2,5]]B=[[1,2],[2,3]] verify (AB)^(-1)=B^(-1)A^(-1)

If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)] , verify the (B^(T))^(T)=B.

If A^(T)=((4,5),(-1,0),(2,3)) and B=((2,-1,1),(7,5,-2)) verify that (A-B)^(T)=A^(T)-B^(T)

If A=[(5, 2, 9), (1, 2, 8)], B=[(1, 7), (1, 2), (5, -1)] verify that (AB)^(T)=B^(T)A^(T) .

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FULL MARKS-APPLICATIONS OF MATRICES AND DETERMINANTS-ADDITIONAL QUESTIONS SOLVED
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  2. Given A=[{:(1,-1,2),(3,0,-2),(1,0,3):}] verify that A(adjA)=(adjA)A=|A...

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  3. If A = [{:(3,2),(7,5):}] "and B" = [{:(-1,-3),(5,2):}] "verify that" (...

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  4. If A={:((3,1),(-1,2)):} show that A^(2)-5A+7I(2)=0

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  5. If A=[{:(2,-1,1),(-1,2,-1),(1,-1,2):}] verify that A^(3)-6A^(2)+9A-4I=...

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  6. Find the inverse of the matrices [{:(1,-1,2),(0,2,-3),(3,-2,4):}]

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  7. Find the rank of the following matrices. [{:(1,-1,1),(3,-2,3),(2,-3,4)...

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  8. Find the rank of the following matrices. [{:(0,1,2,1),(2,-3,0,-1),(1,1...

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  9. Find the rank of the matrix [[1,-2,3,4],[-2,4,-1,-3],[-1,2,7,6]]

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  10. Using elementary transformations find the inverse of the following mat...

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  11. Using elementary transformations find the inverse of the following mat...

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  12. Using elementary transformations find the inverse of the following mat...

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  13. Using elementary transformations find the inverse of the following mat...

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  14. Using elementary transformations, find the inverse of the following ma...

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  15. Using elementary transformations, find the inverse of the following ma...

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  16. Using elementary transformations, find the inverse of the following ma...

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  17. Using matrix method, solve the following system of equations: x+2y+z...

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  18. Using matrix matrices, solve the following system of linear equations:...

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  19. If {:[( 2,-3,5),( 3,2,-4),( 1,1,-2) ]:} , find A^(-1) Using A^(-1) ...

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  20. Use product {:[( 1,-1,2),( 0,2,-3),( 3,-2,4) ]:} {:[( -2,0,1),(9,2,-3...

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