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

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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.

  1. Only $S_1$
  2. Only $S_2$
  3. Both $S_1$ and $S_2$
  4. Neither $S_1$ nor $S_2$
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