2. nts) For each set of vectors, decide if the set is linearly independent or linearly dependent. Justify your conclusion. (a) 2 2 10 24 2 -2 13 -10 -26 -9 2 21 (b) 9. 3 -18 -6 33 -11 48 -18 (c) 16 [19] 67 32 113

2. nts) For each set of vectors, decide if the set is linearly independent or linearly dependent. Justify your conclusion. (a) 2 2 10 24 2 -2 13 -10 -26 -9 2 21 (b) 9. 3 -18 -6 33 -11 48 -18 (c) 16 [19] 67 32 113

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 22EQ

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Question

Linear Algebra 1

2.
nts) For each set of vectors, decide if the set is linearly independent
or linearly dependent. Justify your conclusion.
(a)
2
5
2
10
24
-2
13
-10
-26
-9
2
21
(b)
9.
3
-18
-6
33
-11
48
-18
(c)
16
[19]
67
32
113

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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