Let U₁, U₂, U3 be the vectors in R³ defined by 24 -4 --[]). (a) Is (D₁, D2, D3) linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not all zero coefficients) linear combination of ₁, 2, and v 01 (c) Type the dimension of span {₁, U2, U3): 0= V₁+ (b) Is (₁.₂) linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not all zero coefficients) linear combination of ₁ and ₂. 0= 0₂+ 0₁+ U₂ = 10 U₂ D3

Let U₁, U₂, U3 be the vectors in R³ defined by 24 -4 --[]). (a) Is (D₁, D2, D3) linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not all zero coefficients) linear combination of ₁, 2, and v 01 (c) Type the dimension of span {₁, U2, U3): 0= V₁+ (b) Is (₁.₂) linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not all zero coefficients) linear combination of ₁ and ₂. 0= 0₂+ 0₁+ U₂ = 10 U₂ D3

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.CR: Review Exercises

Problem 78CR: Let v1, v2, and v3 be three linearly independent vectors in a vector space V. Is the set...

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