Let S be the two dimensional subspace of R3 spanned by (a) Find a basis for S¥.

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Let S be the two dimensional subspace of R3 spanned by
X2 and x2 = -2

(a) Find a basis for SŠ¥.
(b) Give a geometric description of S and SŠ¥.
(c) Determine the projection matrix P that projects vectors in R3 onto SŠ¥.

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