Will rate once all is completed. 1) 2) 3) 4) (12 points) Find a basis of...

Question

Question

Will rate once all is completed.

1)

(12 points) Find a basis of the subspace of R that consists of all vectors perpendicular to both El- 1 1 0 and 7 Basis: , the

2)

31 2 and u (12 points) Let y = -2 1 -3 (a) Find the orthogonal projection of y onto u projuy (b) Compute the distance d from

3)

(12 points) 3 1 2 onto the subspace V of R° spanned by and |0 Find the orthogonal projection of v = 9 2 -2 projv (v) _

4)

-1 2 (10 points) Let W be the subspace spanned by Find an orthonormal basis for W -1 2 2

Answer 1

Answer #1

33 SCay) The subspac is sponnud by Lat u= Letg be ony vectoY Fimdng orthogoral basis for S n the subspa cethat is perpendlicu

Answer 2

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