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If A is a symmetric matrix, write whethe...

If A is a symmetric matrix, write whether `A^T` is symmetric or skew-symmetric.

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RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
  1. If A is a non-singular square matrix such that A^(-1)=[(5, 3),(-2,-1...

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  2. If a d j\ A=[(2, 3),(4,-1)] and a d j\ B=[(1,-2),(-3, 1)] , find a d j...

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  3. If A is a symmetric matrix, write whether A^T is symmetric or skew-sym...

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  4. If A is a square matrix of order 3 such that |A|=3 , then write the va...

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  5. If A is a square matrix of order 3 such that |A| =3 then find the val...

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  6. If A is a square matrix of order 3 such that |A|=2 , then write the va...

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  7. If A is a square matrix, then write the matrix a d j(A^T)-(a d j\ A...

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  8. Let A be a 3xx3 square matrix such that |A| = 3 Write the value o...

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  9. If A is a non-singular symmetric matrix, write whether A^(-1) is sy...

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  10. If A=[(costheta,sintheta),(-sintheta,costheta)] , then find the value...

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  11. If A is an invertible matrix such that |A^(-1)|=2 , find the value ...

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  12. If A is a square matrix such that A(a d j\ A)=[(5, 0, 0),(0, 5, 0),(...

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  13. If A=[(2, 3),(5,-2)] be such that A^(-1)=k\ A , then find the value of...

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  14. Let A be a square matrix such that A^2-A+I=O , then write A^(-1) in...

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  15. If A(i j) is the cofactor of the element a(i j) of the determinant [(2...

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  16. Find the inverse of the matrix [(3 ,-2 ),(-7 , 5)] .

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  17. Find the inverse of the matrix [(costheta ,sintheta) ,( -sintheta ,c...

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  18. If A=[(1 ,-3),( 2, 0)] , write a d j\ A .

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  19. If A=[(a , b),( c, d)] , B=[(1 ,0),( 0, 1)] , find a d j\ (A B) .

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  20. If A=[(3, 1) , ( 2 ,-3)] , then find |a d j\ A| .

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