Let A, B, C be three 2×2 matrices with real entries such that B=(… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 28 January, Shift 1Inverse & Adjoint of a Matrix

Let $A, B, C$ be three $2\times2$ matrices with real entries such that $B=(I+A)^{-1}$ and $A+C=I$ . If $BC=\begin{bmatrix}1 & -5\\-1 & 2\end{bmatrix}$ and $CB\begin{bmatrix}x_1\\x_2\end{bmatrix}=\begin{bmatrix}12\\-6\end{bmatrix}$ , then $x_1+x_2$ is:

A
$4$
B
$0$
C
$-2$
D
$2$

Answer & step-by-step solution

Practice more Inverse & Adjoint of a Matrix questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Inverse & Adjoint of a Matrix

Answer & step-by-step solution

Practice more Inverse & Adjoint of a Matrix questions

Related questions