Question

If x, y, z are nonzero real numbers, then the inverse of matrix $A=\left[\begin{array}{ccc}x&0&0\\0&y&0\\0&0&z\end{array}\right]$ is
A. $\frac{1}{xyz} \left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]$
B. $xyz \left[\begin{array}{ccc}x^{-1} &0&0\\0&y^{-1}&0\\0&0&z^{-1}\end{array}\right]$
C. $\frac{1}{xyz} \left[\begin{array}{ccc}x&0&0\\0&y&0\\0&0&z\end{array}\right]$

Answer 1

Answer:

sorry I don't know the answer