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Attempt the following: If A= [[2,3],[1,2...

Attempt the following: If `A= [[2,3],[1,2]]`, `B = [[1,0],[3,1]]`. Find `AB` and `(AB)^-1`. Verify that ` (AB)^-1= B^-1A^-1`.

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CHETANA PUBLICATION-Matrices-EXERCISE
  1. Select the correct option from the given alternatives. The element in ...

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  2. Select the correct option from the given alternatives.The sum of three...

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  3. Select the correct option from the given alternatives.If A = [[2,3],[4...

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  4. Select the correct option from the given alternatives: If [[1,-tanthet...

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  5. Select the correct option from the given alternatives: If A = [[3,-3,4...

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  6. Select the correct option from the given alternatives [[6,-5,1],[4,2,-...

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  7. Select the correct option from the given alternatives. Let A = [[5,5al...

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  8. Select and write the most appropriate answer from the given alternativ...

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  9. Select and write the most appropriate answer from the given alternativ...

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  10. Select and write the most appropriate answer from the given alternativ...

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  11. Attempt the following: If A= [[1,0,0],[2,1,0],[3,3,1]] then reduce it ...

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  12. [[-1,2],[-3,4]] Find the co-factors of the elements of the matrices.

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  13. A = [[2,-3],[3,5]] Find the adjoint of the matrices.

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  14. If A = [[x,0,0],[0,y,0],[0,0,z]], is a non-singular matrix then find A...

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  15. Find A^-1 by elementary row transformations for A = [[1,2,3],[1,1,5],[...

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  16. If A = [[1,0,1],[0,2,3],[1,2,1]] and B = [[1,2,3],[1,1,5],[2,4,7]], th...

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  17. The cost of 2 books and 6 note books is Rs. 34 and the cost of 3 books...

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  18. Solve the following equations by the method of reduction: x+3y+3z = 12...

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  19. IfA=[[4,5],[2,1]], then show that A^-1 = frac{1}{6}(A-5I).

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  20. Attempt the following: If A= [[2,3],[1,2]], B = [[1,0],[3,1]]. Find AB...

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