If A = [(1,5),(7,12)] and B = [(9,1),(7,8)], find a matrix C such that 3A + 5B + 2C is a null matrix.

Question

If A = \(\begin{bmatrix} 1 & 5 \\[0.3em] 7 & 12 \end{bmatrix}\) and B = \(\begin{bmatrix} 9 & 1 \\[0.3em] 7 & 8 \end{bmatrix}\)find a matrix C such that 3A + 5B + 2C is a null matrix.

Answer 1

Given that:

3A + 5B + 2C = O = null matrix

C = ?