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Find (AB)^(-1) if A=[(5,0),(2,3)] ,B^(-...

Find `(AB)^(-1)` if `A=[(5,0),(2,3)] ,B^(-1)=[(1,2),(1,4)]`

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The correct Answer is:
`[(-1,10),(-5,20)]`
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Find (AB)^(-1) if A=[(3,4),(1,1)] ,B^(-1)=[(4,3),(2,1)]

Compute (AB)^(-1) , where A=[(5,0,4),(2,3,2),(1,2,1)],B^(-1)=[(1,2,3),(1,4,3),(1,3,4)]

If A=[[5,0],[2,3]] , B^-1=[[1,2],[1,4]] , evaluate (AB)^-1.

Compute (AB)^-1: A = {:[(1,1,2),(0,2,-3),(3,-2,4)],B^-1=[(1,2,0),(0,3,-1),(1,0,2)]

Taking A = [(2,1,0),(-3,-1,5)], B = [(0,2,3),(2,0,1),(1,-1,4)] and C = [(-1,0,2),(1,3,1),(2,-1,3)] verify that A (B+C) = AB + AC.

If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : A(B+C) = AB+AC

If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : (AB)' = B'A'

If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : AB ne BA

If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : A(BC) = (AB)C

BETTER CHOICE PUBLICATION-DETERMINANTS -ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE) (SECTION V)
  1. For what invertile matrix A of order 3 if |A| = 5 then find |adj A|

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  2. Find the adjoint of the following matrices : [(2,-1),(4,3)]

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  3. Find adjoint of the matrix: [[1,2],[3,4]

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  4. Find adjoint of the matrix: [[1,-1,2],[2,3,5],[-2,0,1]]

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  5. If A = [(costheta,-sintheta,0),(sintheta,costheta,0),(0,0,1)] verify t...

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  6. Verify A(adj A) = (adj A).A = |A|.I :[[2,3],[-4,-6]]

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  7. Verify A(adj A) = (adj A).A = |A|.I : [[1,-1,2],[3,0,-2],[1,0,3]]

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  8. Find the inverse of the matrix (if it exists): [[-1,5],[-3,2]]

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  9. Using elementary transformations find the inverse of [[1,3,-2],[-3,0,-...

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  10. Find the inverse of the following matrices. [(-1,1,2),(3,-1,1),(-1,3...

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  11. If A = [(2,3),(4,5)] show that A^2-7AI-2 =0 hence find A^(-1)

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

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

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  14. If A=[(2,3),(5,-2)] , show that A^(-1)=1/19A

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  15. For what value of x is the matrix [(5-x,x+1),(2,4)] singular ?

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  16. For what value of x is the matrix [(2x+4,4),(x+5,3)] a singular matrix...

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  17. If A=[(3,1),(7,5)] , find x and y so that A^2 + xI-yA=0. Hence find A^...

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  18. Find (AB)^(-1) if A=[(3,4),(1,1)] ,B^(-1)=[(4,3),(2,1)]

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  19. Find (AB)^(-1) if A=[(5,0),(2,3)] ,B^(-1)=[(1,2),(1,4)]

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  20. 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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