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Determinants and Matrices — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsDeterminants and Matrices2 Marks
Question
If $A=\left[\begin{array}{cc}5 & -3 \\ 1 & 0 \\ -4 & -2\end{array}\right]$ and $B=\left[\begin{array}{cc}2 & 7 \\ -3 & 1 \\ 2 & -2\end{array}\right]$, find $2 A-3 B$.
✓

Answer

$
\begin{aligned}
& \text { Let } 2 \mathrm{~A}-3 \mathrm{~B} \\
& \qquad=2\left[\begin{array}{cc}
5 & -3 \\
1 & 0 \\
-4 & -2
\end{array}\right]-3\left[\begin{array}{cc}
2 & 7 \\
-3 & 1 \\
2 & -2
\end{array}\right]
\end{aligned}
$
$
\begin{aligned}
& =\left[\begin{array}{cc}
10 & -6 \\
2 & 0 \\
-8 & -4
\end{array}\right]+\left[\begin{array}{cc}
-6 & -21 \\
9 & -3 \\
-6 & 6
\end{array}\right] \\
& =\left[\begin{array}{cc}
10-6 & -6-21 \\
2+9 & 0-3 \\
-8-6 & -4+6
\end{array}\right]=\left[\begin{array}{cc}
4 & -27 \\
11 & -3 \\
-14 & 2
\end{array}\right]
\end{aligned}
$

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