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Linear Algebra

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Solutions of Trivial Linear System

LINALG-2LNSZS

For the matrix:

$$A=\begin{pmatrix} 0 & 0 & 0\\\ 0 & 0 & 0 \\\ 0&0&0\end{pmatrix}$$

...which of the following are solutions of the system:

$$A\vec{x}=\begin{pmatrix} 0\\\ 0\\\ 0\end{pmatrix}$$

Select ALL that apply.

A

$\vec{x}=\begin{pmatrix} 1 \\\ 2\\\ 3\end{pmatrix}$

B

$\vec{x}=\begin{pmatrix} 0 \\\ 0\\\ 0\end{pmatrix}$

C

$\vec{x}=\begin{pmatrix} 1 \\\ \! -\!\!1\\\ 1\end{pmatrix}$

D

$\vec{x}=\begin{pmatrix}0 \\\ 0\end{pmatrix}$