Question

Find X, if Y = \(\left[\begin{array}{ll} 3 & 2 \\ 1 & 4 \end{array}\right]\) and 2X + Y = \(\left[\begin{array}{ll} 1 & 0 \\ -3 & 2 \end{array}\right]\).

Answer 1

2X + Y = \(\left[\begin{array}{ll} 1 & 0 \\ -3 & 2 \end{array}\right]\)

∴ 2X = \(\left[\begin{array}{ll} 1 & 0 \\ -3 & 2 \end{array}\right]\) – Y = \(\left[\begin{array}{ll} 1 & 0 \\ -3 & 2 \end{array}\right]\) – \(\left[\begin{array}{ll} 3 & 2 \\ 1 & 4 \end{array}\right]\) = \(\left[\begin{array}{ll} -2 & -2 \\ -4 & -2 \end{array}\right]\)

∴ X = \(\left[\begin{array}{ll} -1 & -1 \\ -2 & -1 \end{array}\right]\).