Let v = 2 and w= a = 0 Express those that are in Span(v, w) as a linear combination of v and w: 1 Which of the following vectors belong to Span(v, w)? d= 3 e= 2 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2.
0
H
|0
Express those that are in Span(v, w) as a linear combination of v and w:
Let v =
2 and w =
a =
"
Which of the following vectors belong to Span(v, w)?
d
=
3
e= 2
Transcribed Image Text:2. 0 H |0 Express those that are in Span(v, w) as a linear combination of v and w: Let v = 2 and w = a = " Which of the following vectors belong to Span(v, w)? d = 3 e= 2
Expert Solution
Step 1: Given the information

The given vectors v equals open square brackets table row 1 row 2 row 0 end table close square brackets and w equals open square brackets table row 0 row cell negative 1 end cell row 1 end table close square brackets.

The aim is to find the following vectors in the s p a n open parentheses v comma space w close parentheses.

The vectors are a equals open square brackets table row 1 row 1 row 1 end table close square brackets comma space d equals open square brackets table row 2 row 3 row 1 end table close square brackets comma space e equals open square brackets table row cell negative 1 end cell row 2 row 4 end table close square brackets.

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