- #1

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Problem:

find an orthonormal set q1, q2, q3 for which q1, q2 span the column space of A, where

A =

[1 1]

[2 -1]

[-2 4]

of course I should apply the Gram-Schmidt method, but the problem is that the column vectors are not independent and Gram-Schmidt starts with independent vectors. I can arrive at independent columns by Gaussian elimination that would span the subspace of the column space, so is that what I should use for finding orthonormal qs?

Thanks.