Login/Sign Up
If matrix $B=\left[ \begin{matrix} 8 & 5 \\ 7 & 2 \\ \end{matrix} \right]$. Find (i) ${{B}^{t}}$ (ii) $B+{{B}^{t}}$
If matrix $B=\left[ \begin{matrix} 8 & 5 \\ 7 & 2 \\ \end{matrix} \right]$. Find (i) ${{B}^{t}}$ (ii) $B+{{B}^{t}}$
Class 10 | Frank | ICSE | Maths | Matrices
If matrix $B=\left[ \begin{matrix} 8 & 5 \\ 7 & 2 \\ \end{matrix} \right]$. Find (i) ${{B}^{t}}$ (ii) $B+{{B}^{t}}$

Solution-

Given matrix $B=\left[ \begin{matrix}

8 & 7  \\

5 & 2  \\

\end{matrix} \right]$

(i) ${{B}^{t}}=\left[ \begin{matrix}

8 & 7  \\

5 & 2  \\

\end{matrix} \right]$

(ii) $B+{{B}^{t}}=\left[ \begin{matrix}

8 & 5  \\

7 & 2  \\

\end{matrix} \right]+\left[ \begin{matrix}

8 & 7  \\

5 & 2  \\

\end{matrix} \right]$

$=\left[ \begin{matrix}

16 & 12  \\

12 & 4  \\

\end{matrix} \right]$

i

More Material