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Three Column Vectors are given :

$X_1 = \begin{bmatrix} \ 1 & 2 \ \ 1 & 2 \
\ 1 & 2 \ \end{bmatrix}$ $X_2 = \begin{bmatrix} \ -2 \ \ 1 \ 1 \ \end{bmatrix}$ $X_3 = \begin{bmatrix} \ 0 \ \ -1 \ 1 \ \end{bmatrix}$

(a) Show that they are orthogonal

(b) Generate all possible patterns (i.e. Basis Images)

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