Find the additive inverse of matrix A = \(\left[\begin{array}{cc}2 & 1 \\ −3 & 0\end{array}\right]\)

Concept use:

Additive inverse of matrix of 2 × 2 order \(\left[\begin{array}{cc}a & b \\ c & d\end{array}\right]\) =\(-\left[\begin{array}{cc}a & b \\ c & d\end{array}\right]\)

Calculation:

We have the matrix A = \(\left[\begin{array}{cc}2 & 1 \\ −3 & 0\end{array}\right]\)

Now additive inverse of matrix A  = \(-\left[\begin{array}{cc}2 & 1 \\ −3 & 0\end{array}\right]\) = \(\left[\begin{array}{cc}−2 & −1 \\ 3 & 0\end{array}\right]\)

(2) is correct