Test by Bikram | Mock GATE | Test 4 | Question: 54

Question

If $M$ is a square matrix with a zero determinant, which of the following assertions is/are correct?

$S_1$: Each row of $M$ can be represented as a linear combination of the other rows.
$S_2$ : $MX=0$ has a nontrivial solution.

• A. Only $S_1$
• B. Only $S_2$
• C. Both $S_1$ and $S_2$
• D. Neither $S_1$ nor $S_2$

Answer 1

https://gateoverflow.in/3319/gate2008-it-29

Both $S_1$ and $S_2$ are correct.