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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices2 Marks
Question
Given $A=\left[\begin{array}{ll}1 & 4 \\ 2 & 3\end{array}\right]$ and $B=\left[\begin{array}{rr}-4 & -1 \\ -3 & -2\end{array}\right]$ find the matrix $2 A+B$
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Answer

$\begin{aligned} & A=\left[\begin{array}{ll}1 & 4 \\ 2 & 3\end{array}\right] \\ & B=\left[\begin{array}{ll}-4 & -1 \\ -3 & -2\end{array}\right] \\ & 2 A+B=2\left[\begin{array}{ll}1 & 4 \\ 2 & 3\end{array}\right]+\left[\begin{array}{ll}-4 & -1 \\ -3 & -2\end{array}\right] \\ & =\left[\begin{array}{ll}2 & 8 \\ 4 & 6\end{array}\right]+\left[\begin{array}{ll}-4 & -1 \\ -3 & -2\end{array}\right] \\ & =\left[\begin{array}{ll}2-4 & 8-1 \\ 4-3 & 6-2\end{array}\right] \\ & =\left[\begin{array}{cc}-2 & 7 \\ 1 & 4\end{array}\right] \text {. } \\ & \end{aligned}$

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