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Question about matrices (Gram Schmidt algorithm, QR factorization) watch

    • Thread Starter


    We then rearrange the equations above so that the ai are on the left, using the fact that the ei are unit vectors:

    How did they do this rearrangement?
    • PS Helper

    PS Helper
    They rearranged the equations to get, for example, from

    u_3 = a_3 - \text{proj}_{e_1} a_3 - \text{proj}_{e_2} a_3


    a_3 = u_3 + \text{proj}_{e_1} a_3 + \text{proj}_{e_2} a_3

    and then used the definition of u_i and \text{proj}_e a in each case.
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Updated: March 12, 2011

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