Find a matrix X such that 2A + B + X = 0, where A = [(-1, 2), (3, 4)] and B = [(3, -2), (1, 5)]

Question

Find a matrix X such that 2A + B + X = 0, where A = \(\begin{bmatrix} -1 & 2 \\ 3 & 4 \\ \end{bmatrix}\)and B = \(\begin{bmatrix} 3 & -2 \\ 1 & 5 \\ \end{bmatrix}\)

Answer 1

We have

2A + B + X = 0

x = - 2A - B