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For the matrix A=[{:(3,2),(1,1):}], find...

For the matrix `A=[{:(3,2),(1,1):}]`, find the numbers a and b such that `A^(2)+aA+bI=0`. Hence find `A^(-1)`.

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
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  2. Find the inverse of the matrix A = {:[(a,b),(c,(1+bc)/a)] and show tha...

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  3. For the matrix A=[{:(3,2),(1,1):}], find the numbers a and b such that...

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  4. If A=[(2,-3),(-4,7)] compute A^(-1) and show that 2A^(-1) + A-9I =0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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