Given:
[tex]3 \cdot\left[\begin{array}{cccc}1 & -4 & 5 & -7\end{array}\right][/tex]
To find:
The product of the given.
Solution:
[tex]3 \cdot\left[\begin{array}{cccc}1 & -4 & 5 & -7\end{array}\right][/tex]
Scalar multiplication:
Multiply each of the matrix element by a scalar.
Here scalar is 3.
[tex]=\left[\begin{array}{lllllll}3 & -1 & 3 & (-4) & 3 & -5 & 3\end{array}(-7)\right][/tex]
Simplify each element.
[tex]=\left[\begin{array}{cccc}3 & -12 & 15 & -21\end{array}\right][/tex]
The product of the given matrix is [tex]\left[\begin{array}{cccc}3 & -12 & 15 & -21\end{array}\right][/tex].
