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If A={:[(1,2,2),(2,1,2),(2,2,1)], prove ...

If `A={:[(1,2,2),(2,1,2),(2,2,1)]`, prove thst `A^2-4A-5I = O ` and hence, obtain `A^-1`.

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If A=[[1,2,2],[2,1,2],[2,2,1]] , verify that : A^2-4A-5I=O

If A= [[1,2,2],[2,1,2],[2,2,1]] , find A^2-4A-5I=O

If A=[(3,2),(2,1)] verify that A^2-4A-I=0 . Hence find A^(-1)

If A = {:[(1,2,3),(3,-2,1),(4,2,1)] , then show that : A^2 - 23 A - 40 I ne O

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PRADEEP PUBLICATION-MATRICES-EXERCISE
  1. If A={:[(1,2,2),(2,1,2),(2,2,1)], prove thst A^2-4A-5I = O and hence,...

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  2. IF a matrix has 12 elements, what are the possible orders it has 7 ele...

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  3. Give an examples of a matrix which is a row as well as a column matrix...

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  4. Give an example of a matrix which is a scalar matrix which is not a un...

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  5. Give an example of a matrix which is a diagonal matrix which is not a ...

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  6. Classify the following matries: [ 1 + I - 3 sqrt2 i]

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  7. Classify the following matries: [(sqrt2, 0),(sqrt3,2)]

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  8. Classify the following matries: [(2,0,3,5),(0,1,-1,2)]

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  9. Classify the following matries: [(-2,0),(0,1)]

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  10. Classify the following matries: [(0,2,2),(2,0,2),(2,2,0)]

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  11. Classify the following matries: [(4,0,0,0),(0,4,0,0),(0,0,4,0),(0,0,...

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  12. Classify the following matries: [(1,0,0,0),(0,1,0,0),(0,0,1,0),(0,0,...

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  13. Classify the following matries: [(2-i),(-3),(0),(6)]

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  14. Construct a 2 x 3 matrix A = [a(ij)] for which a(ij) = i + j

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  15. Construct a 2 xx 3 matrix A = [a(ij)](2 xx 3) for which a(ij) = i - j

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  16. Construct a 2 xx 3 matrix A = [a(if)] for which a(ij) = i/j

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  17. Construct a 3 xx 5 matrix B = [b(ij)] such that b(ij) = i + j

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  18. Construct a 3 xx 5 matrix B = [b(ij)] such that b(ij) = i - j

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  19. Construct a 3 xx 5 matrix B = [b(ij)] such that b(ij) = = ij

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  20. Construct a 3 xx 5 matrix B = [b(ij)] such that b(ij) = = i/j

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  21. If [(x-y, z),(2x-y, w)] = [(-1,4),(0,5)], find x , y , z and w.

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