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Algebra — MATHS STD 10 — Question

Tamilnadu BoardEnglish MediumSTD 10MATHSAlgebra5 Marks
Question
If $A=\left[\begin{array}{cc}1 & 9 \\ 3 & 4 \\ 8 & -3\end{array}\right], B=\left[\begin{array}{ll}5 & 7 \\ 3 & 3 \\ 1 & 0\end{array}\right]$ then verify that $A+B=B+A$
✓

Answer

$
\begin{aligned}
& A+B=\left[\begin{array}{cc}
1 & 9 \\
3 & 4 \\
8 & -3
\end{array}\right]+\left[\begin{array}{ll}
5 & 7 \\
3 & 3 \\
1 & 0
\end{array}\right] \\
& =\left[\begin{array}{cc}
6 & 16 \\
6 & 7 \\
9 & -3
\end{array}\right] \ldots(1) \\
& B+A=\left[\begin{array}{ll}
3 & 3 \\
1 & 0
\end{array}\right]+\left[\begin{array}{ll}
3 & 4 \\
8 & 3
\end{array}\right] \\
& =\left[\begin{array}{cc}
6 & 16 \\
9 & 7 \\
9 & -3
\end{array}\right] \ldots .(2)
\end{aligned}
$
From (1) and (2) we get $A+B=B+A$

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