Let ?1=(1,0,1,0) ?2=(0,?1,1,?1) ?3=(1,1,1,1) be linearly
independent vectors in ?4.
a. Apply the Gram-Schmidt algorithm to orthonormalise...
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Let ?1=(1,0,1,0) ?2=(0,?1,1,?1) ?3=(1,1,1,1) be linearlyindependent vectors in ?4.
a. Apply the Gram-Schmidt algorithm to orthonormalise the vectors{?1,?2,?3} of vectors {?1,?2,?3}.
b. Find a vector ?4 such that {?1,?2,?3,?4} is an orthonormal basisfor ?4 (where ?4Â Â is the Euclidean space, that is, theinner product is the dot product).
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