Question

If $P=\left[\begin{array}{ccc}4& 3& 2\end{array}\right]$ and $Q=\left[\begin{array}{ccc}-1& 2& 3\end{array}\right],$ then $P-Q=$

• A. $\left[\begin{array}{ccc}5& 1& -1\end{array}\right]$
• B. $\left[\begin{array}{ccc}5& -1& -4\end{array}\right]$
• C. $\left[\begin{array}{ccc}5& 1& 1\end{array}\right]$
• D. $\left[\begin{array}{ccc}-4& -1& 6\end{array}\right]$

Answer 1

The correct option is A $\left[\begin{array}{ccc}5& 1& -1\end{array}\right]$

Conditions for the subtraction of matrices:

1. Two matrices should be of the same order (number of rows=number of columns).

2. Subtract the corresponding element of other matrices.

Given, $P=\left[\begin{array}{ccc}4& 3& 2\end{array}\right]$ and

$Q=\left[\begin{array}{ccc}-1& 2& 3\end{array}\right]$

Therefore,

$P-Q=\left[432\right]-[-123]=[51-1]$