MathAlgebraLinear algebraMatrices

Calculating matrix inverse

The inverse of a diagonal matrix

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Consider the following matrix:

$\begin{pmatrix} 5 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & -2 \end{pmatrix}$ Select its inverse.

Select one option from the list

\begin{pmatrix} -5 & 0 & 0 \\ 0 & -3 & 0 \\ 0 & 0 & 2 \end{pmatrix}

It doesn't have any inverse

\begin{pmatrix} -5 & 5 & 5 \\ 3 & -3 & 3 \\ 2 & 2 & 2 \end{pmatrix}

\begin{pmatrix} \frac{1}{5} & 0 & 0 \\ 0 & \frac{1}{3} & 0 \\ 0 & 0 & -\frac{1}{2} \end{pmatrix}

\begin{pmatrix} -\frac{1}{5} & 0 & 0 \\ 0 & -\frac{1}{3} & 0 \\ 0 & 0 & \frac{1}{2} \end{pmatrix}

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