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Matrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMatrices2 Marks
Question
Compute $\left[\begin{array}{cc} {a} & {b} \\ {-b} & {a} \end{array}\right]+\left[\begin{array}{ll} {a} & {b} \\ {b} & {a} \end{array}\right]$
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Answer

$\left[\begin{array}{cc} {a} & {b} \\ {-b} & {a} \end{array}\right]+\left[\begin{array}{ll} {a} & {b} \\ {b} & {a} \end{array}\right]$
$=\left[\begin{array}{cc} {a+a} & {b+b} \\ {-b+b} & {a+a} \end{array}\right]$
$=\left[\begin{array}{cc} {2 a} & {2 b} \\ {0} & {2 a} \end{array}\right]$

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