a. . Is the set of vectors of the form a subspace of R³? Show your proof. La+2b

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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answer item 2 only.
a
2. Is the set of vectors of the form
a subspace of R³? Show your proof.
a+2b|
3. Show that the vectors = (0, 3, 1, -1); v = (6, 0, 5, 1); v3 = (4, -7, 1, 3) form a linearly dependent set in R?
4. Express V1 in number 3 as linear combination of V2 and V3.
5. For which value of x do the following vectors form a linearly dependent set in R
V =x,
x,
Transcribed Image Text:a 2. Is the set of vectors of the form a subspace of R³? Show your proof. a+2b| 3. Show that the vectors = (0, 3, 1, -1); v = (6, 0, 5, 1); v3 = (4, -7, 1, 3) form a linearly dependent set in R? 4. Express V1 in number 3 as linear combination of V2 and V3. 5. For which value of x do the following vectors form a linearly dependent set in R V =x, x,
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