= [21] and v₂ = [-]₁ (a) Give an example of three vectors that are linear combinations of v₁ and v2. Problem 2. Let V₁ = (b) Graph V₁, V2 and each of the following vectors on the axes below: a = · [8]₁b = []=[9]₁4 - [3] ,b - 8 -6 -4 -2 X2 8 6 4 2 -2 -4 -6 -8 (c) Express a, b, c, and d as a linear combination of v₁ and v2. 2 4 6

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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- [13] and V₂ = [-2]
(a) Give an example of three vectors that are linear combinations of V₁ and v₂.
Problem 2. Let V₁ =
(b) Graph V₁, V2 and each of the following vectors on the axes below:
a =
· [8] ₁b = [¯ ] ₁ c = [ 3 ], ª = [8]
, C
,d=
-8 -6 -4 -2
X2
8
6
4
2
-2
-4
-6
-8
(c) Express a, b, c, and d as a linear combination of v₁ and v2.
2
4
6
8
X1
Transcribed Image Text:- [13] and V₂ = [-2] (a) Give an example of three vectors that are linear combinations of V₁ and v₂. Problem 2. Let V₁ = (b) Graph V₁, V2 and each of the following vectors on the axes below: a = · [8] ₁b = [¯ ] ₁ c = [ 3 ], ª = [8] , C ,d= -8 -6 -4 -2 X2 8 6 4 2 -2 -4 -6 -8 (c) Express a, b, c, and d as a linear combination of v₁ and v2. 2 4 6 8 X1
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