- #1

Kamekui

- 14

- 0

## 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.