2. (a) Write one of the four vectors 3. 8. as a linear combination of some or all of the others. (b) Find a linearly independent subset of {u, v, w, i} that has the same span (in other words, find a basis for the subspace spanned by these vectors).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 13E
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2.
(a) Write one of the four vectors
1
=
2
8.
as a linear combination of some or all of the others.
(b) Find a linearly independent subset of {u, v, w, a} that has the same span (in other words, find a basis
for the subspace spanned by these vectors).
Transcribed Image Text:2. (a) Write one of the four vectors 1 = 2 8. as a linear combination of some or all of the others. (b) Find a linearly independent subset of {u, v, w, a} that has the same span (in other words, find a basis for the subspace spanned by these vectors).
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