- #1
haux
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Homework Statement
Let u1 = [2 -2 2 ] u2 = [-2 2 1], u3 = [0 1 2]Use the Gram-Schmidt process to u1, u2, u3, in this order. The resulting vectors are:
v1 = [___ ___ ___], v2 = [___ ___ ___], v3 = [___ ___ ___]
And ß = {v1, v2, v3} is an orthongal basis for R3.
Homework Equations
v1 = u1
v2 = u2 - u2 . v1 v1
------------ v1 . v1
v3= u3 - u3 . v1 v1 - u3 . v2 v2
---------------v1 . v1 v2 . v2
The Attempt at a Solution
Well, the first one is easy.
v1 = [2 -2 2]
I solved v2 and got [-1, 1, 2] which was also right.
I tried v3 based on the equation and got [1, 2/3, 4/3] which was apparently incorrect.