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=,4} is linearly dependent. 2, V3). 3 000- 2 3 5. undant vector of R³ (b) {1, ₂} is linearly indepe (d) {V₁, V2, V3} is a basis for (b) is linearly independent. (d) is a spanning set.

=,4} is linearly dependent. 2, V3). 3 000- 2 3 5. undant vector of R³ (b) {1, ₂} is linearly indepe (d) {V₁, V2, V3} is a basis for (b) is linearly independent. (d) is a spanning set.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Let (₁, 2, 3} CV be a linearly independent subset and let v4 E V. Which of the following is true? (a) {V₁, V2, V3, V4} is linearly dependent. (c) v4 € (V1, V2, V3). -008- 2 5 of R³ 2. The subset 3 -1 (a) is a basis. (c) has a redundant vector (b) {1, ₂} is linearly independent. (d) {1, 2, 3) is a basis for V (b) is linearly independent. (d) is a spanning set.
Transcribed Image Text:1. Let (₁, 2, 3} CV be a linearly independent subset and let v4 E V. Which of the following is true? (a) {V₁, V2, V3, V4} is linearly dependent. (c) v4 € (V1, V2, V3). -008- 2 5 of R³ 2. The subset 3 -1 (a) is a basis. (c) has a redundant vector (b) {1, ₂} is linearly independent. (d) {1, 2, 3) is a basis for V (b) is linearly independent. (d) is a spanning set.
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