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Let A be the non singular square matrix ...

Let A be the non singular square matrix of order `3 times 3` then prove that `|adj (A)|=|A|^2`

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ARIHANT PUBLICATION-DETERMINANTS -PART -4 QUESTION FOR PRACTICE
  1. In the interval pi/2 lt x lt pi find the value of x for which the matr...

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  2. Find adjA if A=[(5,2),(7,3):}]

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  3. Let A be the non singular square matrix of order 3 times 3 then prove ...

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  4. IF A and B are matrix of order 3 and |A|=5 , |B|=5 then find the value...

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  5. If A is matrix of order 3 and |A|=4 then find the value of |adj (A)|

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  6. If A is a square matrix of order 3 such that|adj(A)|=64 then find|A|

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  7. If |{:(2,lamda,-3),(0,2,5),(1,1,3):}| then A^-1 exist for which value ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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