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1. Let {V₁, V2, V3} CV be a linearly independent subset and let v4 € V. Which of the following is true? (a) {V₁, V2, V3, V4} is linearly dependent. (c) V4 € (V₁, V2, V3). 3 {060)}- -1 -1 2. The subset (a) is a basis. (c) has a redundant vector 5 of R³ (b) {V₁, V₂} is linearly independent. (d) {V1, V2, V3} is a basis for V (b) is linearly independent. (d) is a spanning set.

1. Let {V₁, V2, V3} CV be a linearly independent subset and let v4 € V. Which of the following is true? (a) {V₁, V2, V3, V4} is linearly dependent. (c) V4 € (V₁, V2, V3). 3 {060)}- -1 -1 2. The subset (a) is a basis. (c) has a redundant vector 5 of R³ (b) {V₁, V₂} is linearly independent. (d) {V1, V2, V3} is a basis for V (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 {V₁, V2, V3} CV be a linearly independent subset and let v4 € V. Which of the following is true? (a) {V₁, V2, V3, V4} is linearly dependent. (c) V4 € (V₁, V2, V3). 2. The subset 2 3 (000). -1 (a) is a basis. (c) has a redundant vector of R3 (b) {V₁, V₂} is linearly independent. (d) {V₁, V2, V3} is a basis for V (b) is linearly independent. (d) is a spanning set.
Transcribed Image Text:1. Let {V₁, V2, V3} CV be a linearly independent subset and let v4 € V. Which of the following is true? (a) {V₁, V2, V3, V4} is linearly dependent. (c) V4 € (V₁, V2, V3). 2. The subset 2 3 (000). -1 (a) is a basis. (c) has a redundant vector of R3 (b) {V₁, V₂} is linearly independent. (d) {V₁, V2, V3} is a basis for V (b) is linearly independent. (d) is a spanning set.
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