2. If we have basis of Eh, what is the condition that will guarantee that if a vector of the basis, say a;, is replaced by another vector, say a, then the new set of vectors still forms a basis?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 40E
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2. if
have
basis of E", what is
the condition that will guarantee that if
a vector of the basis, say a;, is replaced
by another vector, say a, then the new set
of vectors.
still forms
basis?
we
Transcribed Image Text:2. if have basis of E", what is the condition that will guarantee that if a vector of the basis, say a;, is replaced by another vector, say a, then the new set of vectors. still forms basis? we
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