- #1
Kamekui
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Homework Statement
(a.) Find an orthonormal basis of R^4 spanned by {1,1,1,1},{1,0,0,1}, and {0,1,0,1}.
(b.) Use the inner product to express {2,2,2,2} as a linear combination of the basis vectors. Do not solve the equations.
Homework Equations
gram schmidt orthogonalization and then normalizing
The Attempt at a Solution
(a.) I used gram schmidt orthogonalization and then normalized to get:
1/2{1,1,1,1}, 1/2{1,-1,-1,1}, 1/2{-1,1,-1,1}
(b.) I'm not sure how to do this, any help would be appreciated.