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Find the inverse of A = [(1,3,3),(1,4,3)...

Find the inverse of `A = [(1,3,3),(1,4,3),(1,3,4)]` and verify that `A^-1 A = I_3`

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Find the inverse of each of the folowing matrices: [(2,5),(-3,1)]

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  2. Find the inverse of each of the folowing matrices: [(cos theta, sin ...

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  3. Find the inverse of A = [(1,3,3),(1,4,3),(1,3,4)] and verify that A^-1...

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  4. If A = [(11,-20,17),(6,-40,2),(7,-20,-11)] and B = [(6,-7,8),(1,-3,1),...

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  5. If A = 1/9 [(-8,1,4),(4,4,7),(1,-8,4)], show that A^-1 = A'

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  6. If A = [(-1,2,0),(-1,1,1),(0,1,0)], show that A^2 = A^-1

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  7. If A= [(1,-1,1),(2,-1,0),(1,0,0)] and B = [(1,3,2),(1,1,1),(2,-3,-1)],...

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  8. Compute (AB)^-1 where A = [(1,3,3),(1,4,3),(1,3,4)] and B^-1 = [(2,1,...

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  9. Show that [(1, - tantheta/2),(tantheta/2, 1)][(1, tantheta/2),(-tanthe...

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  10. Find the inverse of the matrix A = {:[(a,b),(c,(1+bc)/a)] and show tha...

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

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

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

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

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

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

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

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

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

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