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    Linear Algebra - Orthogonal Bases

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    Let V = Span ((1, -1, 0, 2), (1, 0, 1, 1)) C R^4, and let b = (1, -3, 1, 1).

    a. Find an orthogonal basis for V.
    b. Use your answer to a to find p = proj_v b.
    c. Letting

    A = [ 1 1
    -1 0
    0 1
    2 1]

    user your answer to b to give the least squares solution of Ax - b.

    © BrainMass Inc. brainmass.com May 20, 2020, 4:27 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/linear-algebra-orthogonal-bases-175071

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    Orthogonal bases are investigated in this solution, which is given by step by step equations in an attached Word document.

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