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MATRICES — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMATRICES1 Mark
Question
Let $\text{A} = \begin{bmatrix}2&4\\3&2\end{bmatrix}, \text{B} = \begin{bmatrix}1&3\\-2&5\end{bmatrix},\text{C} = \begin{bmatrix}-2&5\\3&4\end{bmatrix}.$Find each of the following:

$\text{3A - C}$

✓

Answer

$\text {3A - C}=3\begin{bmatrix}2&4\\3&2 \end{bmatrix}-\begin{bmatrix}-2&5\\3&4\end{bmatrix}=\begin{bmatrix}6& 12\\ 9&6 \end{bmatrix}-\begin{bmatrix}-2&5\\3&4\end{bmatrix}$
$=\begin{bmatrix}6+2&12-5\\9-3&6-4\end{bmatrix}=\begin{bmatrix}8&7\\6&2 \end{bmatrix}$

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