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Question: Answered & Verified by Expert
If $\mathrm{A}=\left[\begin{array}{cc}0 & 2 \\ 3 & -4\end{array}\right]$ and $k \mathrm{~A}=\left[\begin{array}{cc}0 & 3 a \\ 2 b & 24\end{array}\right]$, then the values of $k, a$ and $b$ respectively are:
MathematicsMatricesBITSATBITSAT 2023 (Memory Based Paper 1)
Options:
  • A $-6,-12,-18$
  • B $-6,-4,-9$
  • C $-6,4,9$
  • D $-6,12,18$
Solution:
2209 Upvotes Verified Answer
The correct answer is: $-6,-4,-9$
$k A=\left[\begin{array}{cc}0 & 2 k \\ 3 k & -4 k\end{array}\right]=\left[\begin{array}{cc}0 & 3 a \\ 2 b & 24\end{array}\right]$
$\Rightarrow \quad k=-6, a=-4$ and $b=-9$

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