5 [{5, 6}, {7, 8}] =

Question

\(5\left[\begin{array}{ll}5 & 6 \\ 7 & 8\end{array}\right]=\)

(A) \(\left[\begin{array}{cc}25 & 30 \\ 35 & 8\end{array}\right]\)

(B) \(\left[\begin{array}{ll}25 & 30 \\ 35 & 40\end{array}\right]\)

(C) \(\left[\begin{array}{cc}5 & 6 \\ 35 & 40\end{array}\right]\)

(D) \(\left[\begin{array}{ll}25 & 30 \\ 25 & 40\end{array}\right]\)

Answer 1

Correct option is (B) \(\left[\begin{array}{ll}25 & 30 \\ 35 & 40\end{array}\right]\) 

\(5\left[\begin{array}{ll}5 & 6 \\ 7 & 8\end{array}\right]\)

\(=\left[\begin{array}{ll}5\times5 & 6 \times 5\\ 7\times 5 & 8\times5\end{array}\right]\)

\(=\left[\begin{array}{ll}25 & 30 \\ 35 & 40\end{array}\right]\)