The number of matrices A in A for which the system of linear equations
$$A\begin{bmatrix}x\\y\\z \end{bmatrix} = \begin{bmatrix}1\\0\\0 \end{bmatrix}$$
has a unique solution, is

A

less than 4

B

at least 4 but less than 7

C

at least 7 but less than 10

D

at least 10