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Questions  >>  CBSE XII  >>  Math  >>  Matrices
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Using elementary transformations, find the inverse of the matrix if it exists - $ \begin{bmatrix} 1 & 3 & -2 \\ -3 & 0 & -5 \\ 2 & 5 & 0 \end{bmatrix} $

$\begin{array}{1 1}A^{-1}=\begin{bmatrix} 1& -10/25 & -3/25 \\ -10/25 & 4/25 & 1\\ -3/25 & 1/25 & 0 \end{bmatrix} \\ A^{-1}=\begin{bmatrix} 1& -10/25 & 0 \\ -10/25 & 4/25 & 11/25\\ -3/25 & 1/25 & 9/25 \end{bmatrix} \\ A^{-1}=\begin{bmatrix} 1& -2/5 & -3/5 \\ -2/25 & 4/25 & 11/25\\ -3/5 & 1/25 & 9/25 \end{bmatrix} \\ \text{Does not exist} \end{array} $

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