If x, y & z are non zero real numbers, the inverse of matrix A = \(\rm \begin{bmatrix}x&0&0\\\ 0&y&0\\\ 0&0&z\end{bmatrix}\) is:

1
\(\rm \begin{bmatrix}x^{-1}&0&0\\\ 0&y^{-1}&0\\\ 0&0&z^{-1}\end{bmatrix}\)
2
\(\rm xyz \begin{bmatrix}x^{-1}&0&0\\\ 0&y^{-1}&0\\\ 0&0&z^{-1}\end{bmatrix}\)
3
\(\rm \frac{1}{xyz} \begin{bmatrix}x^{-1}&0&0\\\ 0&y^{-1}&0\\\ 0&0&z^{-1}\end{bmatrix}\)
4
More than one of the above
5
None of the above

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