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  4. The additive inverse of the matrix A=[3 -1 2 5] is

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Q. The additive inverse of the matrix $A=\begin{bmatrix}3 & -1 \\ 2 & 5\end{bmatrix}$ is

Matrices

Solution:

The given matrix is $A=\begin{bmatrix}3 & -1 \\ 2 & 5\end{bmatrix}$.
Then, its additive inverse is $-A$.
$\Rightarrow -A =(-1) A$ $ -(-1)\begin{bmatrix} 3 & -1 \\ 2 & 5 \end{bmatrix}-\begin{bmatrix} -3 & 1 \\ -2 & -5 \end{bmatrix}$