Which of the following matrices are singular or non-singular? [ c… - Vidyadip

Question

Which of the following matrices are singular or non-singular?

$\left[\begin{array}{cc}7 & 5 \\ -4 & 7\end{array}\right]$

✓

Answer

Let $A=\left[\begin{array}{cc}7 & 5 \\ -4 & 7\end{array}\right]$

$\therefore|A|=\left[\begin{array}{cc}7 & 5 \\ -4 & 7\end{array}\right]=49+20=69 \neq 0$

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