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:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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