Find a basis for the subspace of R that is spanned by the vectors V1 = (1,0, 0), v2 = (1, 1, 0), v3 = (3, 1, 0), v4 = (0, -2, 0) Vị and vz form a basis for span {v1. V2. V3. V4}. V1 and v3 form a basis for span {v1. V2. V3. Va}. V2 and v4 form a basis for span {v1, V2. V3. Va). V1 and v4 form a basis for span {v1. V2. V3. V4). Vz and v3 form a basis for span {v1, V2. V3. Va). V3 and v4 form a basis for span {v1. V2. V3, V4). O All of the above are correct.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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4. EX2.2

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Find a basis for the subspace of R° that is spanned by the vectors
V1 = (1,0, 0), v2 = (1, 1, 0), v3 = (3, 1, 0), v4 = (0, -2, 0)
Vị and vz form a basis for span {v1. V2. V3. V4}.
V1 and v3 form a basis for span {v1. V2. V3. Va}.
V2 and v4 form a basis for span {v1, V2. V3. Va).
V1 and v4 form a basis for span {v1. V2. V3. V4).
Vz and v3 form a basis for span {v1, V2. V3. Va).
V3 and v4 form a basis for span {v1. V2. V3, V4).
O All of the above are correct.
Transcribed Image Text:Find a basis for the subspace of R° that is spanned by the vectors V1 = (1,0, 0), v2 = (1, 1, 0), v3 = (3, 1, 0), v4 = (0, -2, 0) Vị and vz form a basis for span {v1. V2. V3. V4}. V1 and v3 form a basis for span {v1. V2. V3. Va}. V2 and v4 form a basis for span {v1, V2. V3. Va). V1 and v4 form a basis for span {v1. V2. V3. V4). Vz and v3 form a basis for span {v1, V2. V3. Va). V3 and v4 form a basis for span {v1. V2. V3, V4). O All of the above are correct.
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