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Let A=[(3,7),(2,5):}] and B=[(6,8),(7,9)...

Let `A=[(3,7),(2,5):}] and B=[(6,8),(7,9):}]` then verify that `(AB)^-1 =B^-1 A-1`

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ARIHANT PUBLICATION-DETERMINANTS -PART -4 QUESTION FOR PRACTICE
  1. If |{:(2,lamda,-3),(0,2,5),(1,1,3):}| then A^-1 exist for which value ...

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  2. Find the inverse of the matrix [(2,-2),(4,3):}]

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  3. Find the inverse of the matrix [(cos theta, sin theta),(-sin theta, co...

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  4. If A is a matrix of order 3 times 3 then show that (A^2)^-1=(A^-1)^2

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  5. If A is a matrix of order 2 times 2 and |A|=5 find the value of |adj(A...

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  6. IF A and B are invertible matrices, then which of the following is inc...

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  7. IF A and B are invertible matrices, then which of the following is inc...

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  8. If [[3,5,3],[2,4,2],[lambda,7,8]] is a singular matrix, write the valu...

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  9. Find the adjoint of the following matrix. [{:(1,-1,2),(2,3,5),(-2,0,...

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  10. Find the adjoint of the matrix A=[(1,2),(3,4):}] and verify that A[adj...

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  11. Given A=[{:(2,-3),(-4,7):}] compute A^-1 and show that 2A^-1=9I-A

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  12. IF A=[(1,tanx),(-tanx,1):}] then show that A^TA^-1=[(cos2x,-sin2x),(s...

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  13. Let A=[(3,7),(2,5):}] and B=[(6,8),(7,9):}] then verify that (AB)^-1 =...

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  14. Find the value of the determinant |(1 ,0,0),(0,cos a, sin a),(0,sina...

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  15. If A=[{:(1,-1,1),(2,-1,0),(1,0,0):}] then show that A^-1=A^2

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  16. if A=[(0,1,1),(1,0,1),(1,1,0):}] then find (A^2-3I)

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  17. IF A=[(1,-2,3),(0,-1,4),(-2,2,1):}] then find A^2-A

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  18. Find (AB), if A=[(1,1,2),(0,2,-3),(3,-2,4):}] and B=[(1,2,0),(0,3,-1),...

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  19. Suppose a matrix B of order 2 times 2 such that B=[(1,-2),(1,4):}]=[(6...

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  20. IfA=[(2,1),(3,2):}] and B= [(-3,2),(5,-3):}] then find A+B

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