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In Exercises 1-4, determine if the vectors are linearly indepen- dent. Justify each answer. 1. 7 -3 000 00 2 5 4 -6 -8 -8 1 5 9 4 2. 0 2

In Exercises 1-4, determine if the vectors are linearly indepen- dent. Justify each answer. 1. 7 -3 000 00 2 5 4 -6 -8 -8 1 5 9 4 2. 0 2

Linear Algebra: A Modern Introduction
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 42EQ
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1. 9 buat -8 PRACTICE PROBLEMS 4. 1. Let u = 1.7 EXERCISES In Exercises 1-4, determine if the vectors are linearly indepen- dent. Justify each answer. 0 04 3. [J][C] WHIHI -8 [B] In Exercises 5-8, determine if the columns of the matrix form a linearly independent set. Justify each answer. 3 V = -4 b. a. Are the sets {u, v}, {u, w}, dent? Why or why not? Does the answer to Part (a c. To determine if {u, v, w, z a linear combination of u, d. Is {u, v, w, z} linearly dep- 2. Suppose that {V₁, V2, V3} is a in R". Show that {V1, V2, V3, V -3 -6 5. 7. In E Span depe
Transcribed Image Text:1. 9 buat -8 PRACTICE PROBLEMS 4. 1. Let u = 1.7 EXERCISES In Exercises 1-4, determine if the vectors are linearly indepen- dent. Justify each answer. 0 04 3. [J][C] WHIHI -8 [B] In Exercises 5-8, determine if the columns of the matrix form a linearly independent set. Justify each answer. 3 V = -4 b. a. Are the sets {u, v}, {u, w}, dent? Why or why not? Does the answer to Part (a c. To determine if {u, v, w, z a linear combination of u, d. Is {u, v, w, z} linearly dep- 2. Suppose that {V₁, V2, V3} is a in R". Show that {V1, V2, V3, V -3 -6 5. 7. In E Span depe
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