Q10

MSQ1 mark

Let $n>1$ . Consider an $n \times n$ matrix $M$ with its elements from $\mathbb{R}$ . Let the vector $(0,1,0,0, \ldots, 0) \in \mathbb{R}^{n}$ be in the null space of $M$ . Which of the following options is/are always correct?

(A)

Determinant of $M$ is $1$

(B)

Determinant of $M$ is $0$

(C)

Rank of $M$ is $1$

(D)

There are at least two non-zero vectors in the null space of $M$

Loading…