- #1

- 699

- 5

^{3}spanned by

**u**

_{2}=[tex]\left[ \begin{array} {c}

\frac{2}{3} \\

\frac{2}{3} \\

\frac{1}{3} \end{array} \right][/tex] and

**u**

_{3}=[tex]\left[ \begin{array} {c}

\frac{1}{\sqrt{2}} \\

\frac{-1}{\sqrt{2}} \\

0 \end{array} \right][/tex].

Let

**x**=[tex]\left[ \begin{array} {c}

1 \\

2 \\

2 \end{array} \right][/tex]. Find the projection of

**p**of

**x**onto S.

I know how to find projection but I am not sure about doing the projection on a subspace.