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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices1 Mark
Question
Find $x$ and $y,$ if $\left(\begin{array}{ll}x & 3 x \\ y & 4 y\end{array}\right)\left(\begin{array}{l}2 \\ 1\end{array}\right)=\left(\begin{array}{c}5 \\ 12\end{array}\right)$.
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Answer

On multiplying $\text{L.H.S.},$ matrices,
we get $\left(\begin{array}{l}5 x \\ 6 y\end{array}\right)$
which is equal to $\text{R.H.S.},$ matrix, evaluate their corresponding elements to get the values of $x$ and $y$.
Hence$, x = 1, y = 2.$

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