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If A = [(2,3,3),(3,2,3),(3,3,2)], then s...

If `A = [(2,3,3),(3,2,3),(3,3,2)]`, then show that `A^2 - 7A - 8I = O`

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Find A^(-1) if A=[(0,1,1),(1,0,1),(1,1,0)] and show that A^(-1)=(A^2-3...

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  2. Show that A = [(-8,5),(2,4)] satsfies the equation x^2 + 4x - 42= 0. H...

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  3. If A = [(2,3,3),(3,2,3),(3,3,2)], then show that A^2 - 7A - 8I = O

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  4. Find the matrix X satisfying X [(5,3),(-1,-2)]=[(14,7),(7,7)]

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  5. Find the matrix X satisfying. [(3,2),(7,5)] X [(-1,1),(-2,1)] = [(2,...

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  6. Find the matrix X satisfying. [(2,1),(5,3)] X [(5,3),(3,2)] = [(1,0)...

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  7. Find the matrix X satisfying. [(2,1),(3,2) X [(-3,2),(5,-3)] = [(1,0...

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  8. If A = [(6,-7, 8),(1,-3,1),(2,1,-4)], compute det (adj A).

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  9. If A = [(3,2,2),(2,3,2),(2,2,3)], find adj (Adj A)

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  10. If A = [(1,0,2),(0,2,1),(2,0,3)], find A (adj A)

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  11. Prove that |(bc-a^2, ca-b^2, ab-c^2),(ca-b^2, ab-c^2, bc-a^2),(ab-c^2,...

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  12. Using matrix method solve the following systems of equations: (3x + ...

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  13. Using matrix method solve the following systems of equations: {:(3x ...

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  14. Using matrix method solve the following systems of equations: {:(2x ...

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  15. Using Cramers, rule solve the following system of equations: {:(5x +...

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  16. Using Cramers, rule solve the following system of equations: {:(3x +...

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  17. Using Cramers, rule solve the following system of equations: {:(x-2y...

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  18. Solve the following equations by matrix method. {:(5x + 3y + z = 16)...

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  19. Solve the following equations (by matrix method) : 2x + 8y + 5z = 5, x...

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  20. Find A^-1 if A = [(-1,2,5), (2,-3,1),(-1,1,1)] and hence, solve the sy...

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