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Exercise 5

Avg difficulty 2.5

Consider the set of vectors v1=[211],v2=[122],v3=[300].\vvec_1=\threevec211,\hspace{24pt} \vvec_2=\threevec122,\hspace{24pt} \vvec_3=\threevec300.

  1. What happens when we apply the Gram-Schmit orthogonalization algorithm?

  2. Why does the algorithm fail to produce an orthogonal basis for R3\real^3?

Austin, Understanding Linear Algebra, §6.4 Finding orthogonal bases, Exercise 5

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Adapted from Understanding Linear Algebra © 2023 David Austin. Licensed under CC BY 4.0. Source: Understanding Linear Algebra. Imported at revision 3e6dced.