Evaluate : [321][2 -4 3] MATRICES Mathematics and Statistics

Exercise 2.3 | Q 1.1 | Page 55

QUESTION

Evaluate : ${\displaystyle \left[\begin{array}{c}3\\ 2\\ 1\end{array}\right][2 -4 3]}$

${\displaystyle }$

SOLUTION

${\displaystyle \left[\begin{array}{c}3\\ 2\\ 1\end{array}\right][2 -4 3]}$

= ${\displaystyle \left[\begin{array}{ccc}3\left(2\right)& 3(-4)& 3\left(3\right)\\ 2\left(2\right)& 2(-4)& 2\left(3\right)\\ 1\left(2\right)& 1(-4)& 1\left(3\right)\end{array}\right]}$

= ${\displaystyle \left[\begin{array}{ccc}6& 12& 9\\ 4& 8& 6\\ 2& -4& 3\end{array}\right]}$.