Matrix Equation Solution (Jee Mains)

Formation, Types & Operations

Medium

Matrix Equation Solution

Let A, B and C be three 2×2 matrices with real entries such that B = (I + A)^–1 and A + C = I. If $BC = \left[ {\begin{array}{*{20}{c}} 1&{ - 5}\\[0.9em] { - 1}&2 \end{array}} \right]$ and $CB\left[ {\begin{array}{*{20}{c}} {{x_1}}\\[0.9em] {{x_2}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {12}\\[0.9em] { - 6} \end{array}} \right]$ then x₁ + x₂ is

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