Linear Algebra Question (projection, transformation)

1. Consider subspace W = Span

a. Find the orthonormal basis S for W

Using Gram-schmidt process: S=

b. Find the Orthogonal Projection of V=

onto w and w complement?

Im not sure one how to do it? Any help would be appreciated.

2.Let be defined by

L( ) =

Find the matrix representing L with respect to the bases of and

of

I can find the bases with respect to which is L= but im unsure on how to approach the one.

Any help on these 2 problems will be appreciated. Thanks in advance