First slide

System of linear equations

Question

The system of linear equations $a x + b y = 0$ , $c x + d y = 0$ has a non-trivial solution if

Easy

A

$a d - b c > 0$
B

$a d - b c < 0$
C

$a c + b d = 0$
D

$a d - b c = 0$

Solution

For non-trivial solution $| \begin{matrix} a & b \\ c & d \end{matrix} | = 0$ .

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