Question

Multiplication of $3$ with the matrix $\left[\begin{array}{ccc}4& 1& 1\end{array}\right]$ gives

• A. $\left[\begin{array}{ccc}12& 3& 3\end{array}\right]$
• B. $\left[\begin{array}{ccc}12& 1& 1\end{array}\right]$
• C. $\left[\begin{array}{ccc}4& 3& 1\end{array}\right]$
• D. $\left[\begin{array}{ccc}4& 1& 3\end{array}\right]$

Answer 1

The correct option is A $\left[\begin{array}{ccc}12& 3& 3\end{array}\right]$

Given matrix

$\left[\begin{array}{ccc}4& 1& 1\end{array}\right]$

Now,

$=3\times \left[\begin{array}{ccc}1& 1& 1\end{array}\right]$

$=\left[\begin{array}{ccc}3\times 4& 3\times 1& 3\times 1\end{array}\right]$

$=\left[\begin{array}{ccc}12& 3& 3\end{array}\right]$

Option A is correct