Find the matrix X such that 2A – B + X = O, where A = [(3,1)(0,2)] B = [(-2,1)(0,3)].

Question

Find the matrix X such that 2A – B + X = O,

where A = \( \begin{bmatrix} 3 & 1 \\[0.3em] 0&2 \\[0.3em] \end{bmatrix}\) and B = \( \begin{bmatrix} -2& 1 \\[0.3em] 0&3 \\[0.3em] \end{bmatrix}\)

A = [(3,1)(0,2)]

B = [(-2,1)(0,3)]

Answer 1

Given 2A – B + X = 0

Conclusion: X = \(\begin{bmatrix} -8& -1 \\[0.3em] 0&-1 \\[0.3em] \end{bmatrix}\)