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MCQMediumJEE Main 2026 · 22 January, Shift 2Inverse & Adjoint of a Matrix

Mathematics Question from JEE Main 2026 · 22 January, Shift 2

If X=[xyz]X=\begin{bmatrix}x\\y\\z\end{bmatrix} is a solution of the system of equations AX=BAX=B, where adj A=[422−5051−23]andB=[402],adj\, A= \begin{bmatrix} 4 & 2 & 2\\-5 & 0 & 5\\1 & -2 & 3 \end{bmatrix} \quad \text{and} \quad B=\begin{bmatrix}4\\0\\2\end{bmatrix}, then ∣x+y+z∣|x+y+z| is equal to

  • A

    11

  • B

    32\dfrac{3}{2}

  • C

    33

  • D

    22

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