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If [(x+y,2),(-1,2x-y)] = [(4,2),(-1,5)] ...

If `[(x+y,2),(-1,2x-y)] = [(4,2),(-1,5)]` , find x and y.

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Using the elementary row operations, find the inverse of each of the f...

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  2. If A is of order 3 xx 4 and A + B is defined, then what is the order o...

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  3. If [(x+y,2),(-1,2x-y)] = [(4,2),(-1,5)] , find x and y.

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  4. Write down the identity matrix of order 2.

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  5. If S it the set of all 2 xx 2 matrices then find the identity element ...

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  6. Compute the product [x , y][(x),(y)]

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  7. If A and B are square matrices of the same order, compute (A+B). (A-B)

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  8. If A and B are square matrices of the same order such that AB = BA, th...

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  9. Let S be the set of all 2xx2 matrices. What is the identity element of...

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  10. If A = [(1,1),(0,1)], evaluate A^3

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  11. If A is of order 2 xx 3. Is it possible to compute A^2?

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  12. Find x if [(x^2),(9)] - 3 [(x),(9)] = [(-2),(-18)]

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  13. Find A^2 if A= [(cos alpha, sinalpha),(-sin alpha, cos alpha)]

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  14. If A = [1 2 3], evaluate A^t.

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  15. if A = [a b c], evaluate A^TA.

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  16. If A = [(1,2,-1),(x, 3, y),(-1,6,4)] is a symmetric matrix, find x,y.

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  17. If A is a skew symmetric matrix of order 3, write down its (2,2)th ele...

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  18. If A = [(1,2),(2,4)], find A^-1

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  19. If A = [(3,5),(1,2)], find A^-1

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  20. If A of order 2 xx 2, state whether 1/2 (A + A^T) is symmetric or skew...

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