Use the results of Exercise 27 to extend the set consisting of the vectorsto a basis of i...

Use the results of Exercise 27 to extend the set consisting of the vectors

to a basis of in the manner of the proof of part(1) of Lemma 2.11.

Exercise 27

Suppose that v1, v2, …, vk are linearly independent vectors in Let vk+1 be another vector in How could the gausselim or gaussjord commands of Maple or corresponding commands in another appropriate software package be used to determine if vk+1 is in Span{v1, v2, …, vk}?