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If \( a, b, c \) are non-zero real numbers, then the inverse of the matrix \[ A=\left[\begin{array}{lll} a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & c \end{array}\right] \] |
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Answer» Inverse of matrix is \(A^{-1} = \begin{bmatrix}\frac1a&0&0\\0&\frac1b&0\\0&0&\frac1c\end{bmatrix}\) |
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