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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
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  2. Find the matrix A satisfying the matrix equation [2 1 3 2]A[-3 2 5-3]...

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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. Using elementary row transformation find the inverse of the matrix A=[...

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  5. Let A be a non-singular matrix. Show that A^T A^(-1) is symmetric if...

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  6. If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] is such that A^T=A^(-1...

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  7. Find the adjoint of matrix A=[a(i j)]=[(p, q),( r, s)] .

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  8. Find the adjoint of matrix A=[a(i j)]=|[1, 1, 1], [2, 1,-3],[-1, 2, ...

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  9. Compute the adjoint of the matrix A given by A=[[1, 4, 5], [3, 2, 6]...

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  10. Find the inverse of the matrix |[2,-1], [3, 4]| .

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  11. Find the inverse of the matrix A=[[8, 4, 2],[ 2, 9, 4],[ 1, 2, 8]] .

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  12. If A is an invertible matrix of order 3 and |A|=5 , then find |a d ...

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  13. If A is an invertible matrix of order 3xx3 such that |A|=2 . Then, f...

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  14. If A is an square matrix of order 3 such that |A|=2 , then write the...

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  15. If A=|[3, 0,-1], [2, 3 ,0], [0, 4, 1]| , then find |a d j\ (a d j\ A)|...

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  16. If A=|[a, b], [c ,d]| , find a d j\ A .

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  17. If A=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]] , find ...

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

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  19. Find the inverse of A=[[1, 3, 3],[ 1, 4, 3],[ 1, 3, 4]] and verify tha...

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  20. If A=|[1,tanx],[-tanx,1]| , show that A^T\ A^(-1)=|[cos2x,-sin2x],[sin...

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