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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:
$\text{AB}$
✓

Answer

$\text {AB}=\begin{bmatrix}2&4\\3&2 \end{bmatrix}\begin{bmatrix}1&3\\-2&5\end{bmatrix}=\begin{bmatrix}2(1)+4(-2)& 2(3)+4(5)\\ 3(1)+2(-2)&3(3)+2(5) \end{bmatrix}=\begin{bmatrix}-6&26\\-1&19\end{bmatrix} $

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