Let

V = span

{

1 1 1 1

1 -1 0 1

1 0 1 -1

0 1 1 0

0 0 0 1 }

a) Find an orthogonal basis for V.

b) Write

(3

1

1

1

1 ) in terms of the new basis.

c) Find the projection of

( 2 )

( 1 )

( 0 )

( 1 )

( 2 ) onto V.

d) What is the distance between

( 2 )

( 1 )

( 0 )

( 1 )

( 2 ) and V?

To do this problem you need to find V. I don't know how to do that and I'm guessing once i do find V i won't be able to do the rest. At least not correctly without something to follow. Can someone please help me through this problem? TIA!!!