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Given a list of linearly independent vectors, the Gram-Schmidt process produces a list of orthogonal unit vectors by:

subtracting from each vector its projections onto all vectors earlier in the list, and

multiplying each vector by a scalar so that the resulting vector has norm 1.

Consider the pair of vectors \(\mathbf{v_1}=\dbinom{-2}{4}\)and \(\mathbf{v_2}=\dbinom{1}{3}\)In performing the Gram-Schmidt process on this list, \(\mathbf{v_2}\) has a projection subtracted from it and is multiplied by a scalar c. Find a value of c.

 Feb 12, 2022
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The value of c is 10/3.

 Feb 13, 2022

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