It can be shown (but you need not do so) that b 0 с d :]|++d} W = a +c= a subspace of M2.3. Find a basis for W. Be sure to explain (and justify) why this is a basis.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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It can be shown (but you need not do so) that
b 0
a
W =
a +c= b+
d
is a subspace of M2,3. Find a basis for W. Be sure to explain (and justify) why this is a basis.
Transcribed Image Text:It can be shown (but you need not do so) that b 0 a W = a +c= b+ d is a subspace of M2,3. Find a basis for W. Be sure to explain (and justify) why this is a basis.
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