If $$A = \begin{pmatrix} \alpha - 1 \\ 0 \\ 0 \end{pmatrix}, B = \begin{pmatrix} \alpha + 1 \\ 0 \\ 0 \end{pmatrix}$$ be two matrices, then $$AB^T$$ is a non-zero matrix for $$|\alpha|$$ not equal to

A

2

B

0

C

1

D

3