Check the additive inverse — task. Maths TNSB Mentoring, Class 10.

If \(A =\begin{bmatrix}
7 & -5 & 12\\
-6 & -17 & 3\\
9 & 8 & 14
\end{bmatrix}\) then check that \(A+(−A) = (−A)+A = O\).

The \(-A\) matrix is

[\begin{array}{l} i & i & i \\ i & i & i \\ i & i & i \end{array}]

The matrix \(O =\)

[\begin{array}{l} i & i & i \\ i & i & i \\ i & i & i \end{array}]

The matrix \(A\) gives \(A+(−A)\) \((−A)+A = O\)

Did you find an error?

7. Check the additive inverse