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Find a 2x2 matrix B such that B[1-2 1 4]...

Find a `2x2` matrix B such that `B[1-2 1 4]=[6 0 0 6]`

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To find the \(2 \times 2\) matrix \(B\) such that \[ B \begin{bmatrix} 1 & -2 \\ 1 & 4 \end{bmatrix} = \begin{bmatrix} 6 & 0 \\ 0 & 6 \end{bmatrix}, \] we will denote the matrix \(B\) as ...
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RD SHARMA ENGLISH-ADJOINTS AND INVERSE OF MATRIX-All Questions
  1. If A=[[1,tanx],[-tanx,1]], show that A^T A^(-1)=[[cos2x,-sin2x],[sin2...

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  2. If matrix A=[02 y z x y-zx-yz] satisfies AT = A-1, then find the valu...

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  3. Find a 2x2 matrix B such that B[1-2 1 4]=[6 0 0 6]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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