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Math Help - Orthogonal Projections

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    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)}
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    Quote Originally Posted by My Little Pony View Post
    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 w_1 and w_2. Then the projection of v on W is \langle v,w_1\rangle w_1 + \langle v,w_2\rangle w_2.
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