-8. -[-2]. (a) Give an example of three vectors that are linear combinations of v₁ and v2. Problem 2. Let V₁ = and V2 = (b) Graph V₁, V2 and each of the following vectors on the axes below: a - [8][8][9][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. ,d 2 4 6 8 X1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section: Chapter Questions
Problem 2RQ: 2. If , and the vector is drawn with its tail at the point, find the coordinates of the point at the...
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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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