Question

solve this matrix........​

Answer 1

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \underline{ \huge{ \boxed{ \boxed{ \underline{{{ \textbf{ \textsf{MATRIX}}}}}}}}}}$

$\underline{ \underline{{ \huge{ \blue{ \mathfrak{S}}}} {\blue{\bold{OLUTION - }}}}}$

${ \mathtt{A = \left[ \begin{array}{c c c } \sf 2& \sf 0 \: \: \: \: \: \sf \: 1\\\\ \sf \: - 1& \sf \: 1 \: \: \: \: \: \sf \: 5\end{array} \right]}} \\ \\ \\{ \mathtt{B = \left[ \begin{array}{c c c } \sf - 1& \sf 1 \: \: \: \: \: \sf \: 0 \\\\ \sf \: 0& \sf \: 1 \: \: \: \: \: \sf \: - 2\end{array} \right] }}$

${ \mathtt{Transpose \: of \: B \implies B' = \left[ \begin{array}{c c } \sf - 1& \sf 0 \\\\ \sf 1& \sf \: 1 \\ \\ \sf 0 & \sf - 2 \end{array} \right]}}$

Now,

$\implies{ \mathtt{(AB') = \left[ \begin{array}{c c c } \sf 2& \sf 0 \: \: \: \: \: \sf \: 1\\\\ \sf \: - 1& \sf \: 1 \: \: \: \: \: \sf \: 5\end{array} \right].\left[ \begin{array}{c c } \sf - 1& \sf 0 \\\\ \sf 1& \sf \: 1 \\ \\ \sf 0 & \sf - 2 \end{array} \right]}} \\ \\ \\ \implies{ \mathtt{\left[ \begin{array}{c c } \sf 2 \times - 1+ 0 \times 1 + 1 \times 0& & \sf 2 \times 0 + 0 \times 1 + 1 \times - 2 \\\\ \sf - 1 \times - 1 + 1 \times 1 + 5 \times 0&& \sf \: - 1 \times 0 + 1 \times 1 + 5 \times - 2 \end{array} \right]}} \\ \\ \\ \implies{ \mathtt{\left[ \begin{array}{c c } \sf - 2 + 0 + 0&& \sf0 + 0 - 2 \\\\ \sf 1 + 1 + 0&& \sf - 0 + 1 + 10\end{array} \right]}} \\ \\ \\ \implies{ \mathtt{ \red{\left[ \begin{array}{c c } \sf - 2& \sf - 2 \\\\ \sf 2& \sf 9 \end{array} \right] \: \: \: \: \: \: ans... \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}}$

____________________

@MissSolitary✌️

THANKU :)