For each space W spanned by vectors given below, determine a basis for W¹. Note that if you do not need a basis vector, then write 0 for all entries of that basis vector. For example, if you only need 2 vectors in your basis, then write 0 in all boxes corresponding to the third vector 1) Let W be the space spanned by vectors -1 2 5 -2 Then a basis for W¹ would be:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 22EQ
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For each space W spanned by vectors given below, determine a basis for W¹.
Note that if you do not need a basis vector, then write 0 for all entries of that basis vector. For example, if you only need 2 vectors in your basis,
then write 0 in all boxes corresponding to the third vector
1) Let W be the space spanned by vectors
-2
!
Then a basis for W¹ would be:
Transcribed Image Text:For each space W spanned by vectors given below, determine a basis for W¹. Note that if you do not need a basis vector, then write 0 for all entries of that basis vector. For example, if you only need 2 vectors in your basis, then write 0 in all boxes corresponding to the third vector 1) Let W be the space spanned by vectors -2 ! Then a basis for W¹ would be:
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