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If A' = … and B = … then (3A + 2B)' is :

CUET UG 2023 — Mathematics Applied-Mathematics

2023mcqmedium

If A′=[−2312]A' = \begin{bmatrix} -2 & 3 \\ 1 & 2 \end{bmatrix}A′=[−21​32​] and B=[−1023]B = \begin{bmatrix} -1 & 0 \\ 2 & 3 \end{bmatrix}B=[−12​03​]

then (3A+2B)′(3A + 2B)'(3A+2B)′ is :

Official previous-year question

Held on 23 May 2023 · Verified 13 Jul 2026.

Options

  1. A

    [−25110]\begin{bmatrix} -2 & 5 \\ 1 & 10 \end{bmatrix}[−21​510​]

  2. B

    [813−212]\begin{bmatrix} 8 & 13 \\ -2 & 12 \end{bmatrix}[8−2​1312​]

  3. C

    [−813312]\begin{bmatrix} -8 & 13 \\ 3 & 12 \end{bmatrix}[−83​1312​]

  4. D

    [710−312]\begin{bmatrix} 7 & 10 \\ -3 & 12 \end{bmatrix}[7−3​1012​]

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