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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices1 Mark
Question
Given $M=\left[\begin{array}{cc}5 & -3 \\ -2 & 4\end{array}\right]$$M^t$ find its transpose matrix $M^t$ if possible find $M^t-M$
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Answer

$M^t-M=\left[\begin{array}{cc}5 & -2 \\ -3 & 4\end{array}\right]-\left[\begin{array}{cc}5 & -3 \\ -2 & 4\end{array}\right]=\left[\begin{array}{cc}5-5 & -2+3 \\ -3+2 & 4-4\end{array}\right]=\left[\begin{array}{cc}0 & 1 \\ -1 & 0\end{array}\right]$

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