Linear Algebra - Gram Schmidt & Normalization - Error in Sol

[YoshiMoshi]

Homework Statement

So I think I found an error in the solution were it attempts to find q_2^

I'm asked find the orthornomal basis for the column space of matrix A.

Homework Equations

The Attempt at a Solution

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My question is in what it puts for q_2^

A_2 = [4/3 4/3 -2/3]^T
||A_2|| = sqrt((4/3)^2 + (4/3)^2 + (-2/3)^2) = 2

but in the answer key since
q_2 = A_2/||A_2|| it's implying that ||A_2|| = 3 but I calculate 2. Am I doing something wrong?

Thanks for your help.

 

[YoshiMoshi]

Oh I see that it's correct my bad