Thread: Orthogonal Projections

Find the orthogonal projection of the vector v onto the subspace W.

v= (-4, 5, -3)

W= span{(-3, 2, -1), (2, -3, -3)}

Originally Posted by My Little Pony

Find the orthogonal projection of the vector v onto the subspace W.

v= (-4, 5, -3)

W= span{(-3, 2, -1), (2, -3, -3)}

Apply the Gram–Schmidt process to those two vectors in W, to get an orthonormal basis of W. Say it consists of the unit vectors and . Then the projection of v on W is .