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If Matrix A= [[5,3],[-1,-2]], then show ...

If Matrix `A= [[5,3],[-1,-2]]`, then show that `A^2-3A-7I=0` and hence find `A^-1` from this equation.

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. Verify that the matrix [(7,-3,-3),(-1,1,0),(-1,0,1)] is the inverse of...

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  2. If A = [(3,1),(-1,2)] then the matrix A^2 - 5A + 8I is

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  3. If Matrix A= [[5,3],[-1,-2]], then show that A^2-3A-7I=0 and hence fin...

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  4. Using the elementary row operations, find the inverse of each of the f...

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  5. Using the elementary row operations, find the inverse of each of the f...

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  7. Using the elementary row operations, find the inverse of each of the f...

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  8. Using the elementary row operations, find the inverse of each of the f...

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  9. Using the elementary row operations, find the inverse of each of the f...

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  10. Using the elementary row operations, find the inverse of each of the f...

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  11. Using the elementary row operations, find the inverse of each of the f...

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  12. Using the elementary row operations, find the inverse of each of the f...

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  13. Using the elementary row operations, find the inverse of each of the f...

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  14. Using the elementary row operations, find the inverse of each of the f...

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

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

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  17. Write down the identity matrix of order 2.

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

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

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

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