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Determinants and Matrices — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsDeterminants and Matrices1 Mark
Question
Evaluate $:\left[\begin{array}{l}3 \\ 2 \\ 1\end{array}\right]\left[\begin{array}{lll}2 & -4 & 3\end{array}\right]$
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Answer

$\left[\begin{array}{l}3 \\ 2 \\ 1\end{array}\right]\left[\begin{array}{lll}2 & -4 & 3\end{array}\right]$
$=\left[\begin{array}{lll}3(2) & 3(-4) & 3(3) \\ 2(2) & 2(-4) & 2(3) \\ 1(2) & 1(-4) & 1(3)\end{array}\right]$
$=\left[\begin{array}{ccc}6 & -12 & 9 \\ 4 & -8 & 6 \\ 2 & -4 & 3\end{array}\right]$

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