Question

plz solve this with appropriate steps
​

Answer 1

${\texttt{\huge{\blue{HERE WE HAVE :-}}}}$

[tex]A = \left| \begin{array}{cc} 1 & -2 \\5 & 3\end{array}

\right| [/tex]

[tex]B = \left| \begin{array}{cc} 1 & -3 \\4 & -7\end{array}

\right| [/tex]

[tex]I = \left| \begin{array}{cc} 1 & 0\\0 & 1\end{array}

\right| [/tex]

$\huge\bigstar\underline\green{SOLUTION :-}$

$A - 2B + 6I$

[tex] = \left| \begin{array}{cc} 1 & -2 \\5 & 3\end{array}

\right| - 2 \left| \begin{array}{cc} 1 & -3\\4 & -7\end{array}

\right|+ 6 \left| \begin{array}{cc} 1 & 0\\0 & 1\end{array}

\right|[/tex]

[tex] = \left| \begin{array}{cc} 1 & -2 \\5 & 3\end{array}

\right| + \left| \begin{array}{cc} - 2 & 6\\ - 8 & 14\end{array}

\right|+\left| \begin{array}{cc} 6 & 0\\0 & 6\end{array}

\right|[/tex]

$\small{\sf → On \: adding \: all \: the \: equations...}$

[tex] = \left| \begin{array}{cc} 1 - 2 + 6& -2 + 6 + 0 \\5 - 8 + 0& 3 + 14 + 6\end{array}

\right| [/tex]

[tex] = \left| \begin{array}{cc} 5& 4 \\ - 3& 23\end{array}

\right| [/tex]

$\underline{which \: is \: the \: required \: answer...}$