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  3. let ?1=(1,0,1,0) ?2=(0,?1,1,?1) ?3=(1,1,1,1) be li

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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Advance Math

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 ?4  is the Euclidean space, that is, theinner product is the dot product).

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