8. Suppose that S = {ü1, v2, v3} is a set of linearly independent vectors in R4. Answer the following true or false questions by circling ONLY ONE of TRUE or FALSE. Make sure to include your reasoning. (a) Any vector u in R' can be written as a linear combination of u1, 02, 03. TRUE FALSE (b) The vector ü3 can be written as a linear combination of ij and 02. TRUE FALSE (c) There is a vector 74 such that {ũ1, 02, 03, 04} is a basis for R4. TRUE FALSE
8. Suppose that S = {ü1, v2, v3} is a set of linearly independent vectors in R4. Answer the following true or false questions by circling ONLY ONE of TRUE or FALSE. Make sure to include your reasoning. (a) Any vector u in R' can be written as a linear combination of u1, 02, 03. TRUE FALSE (b) The vector ü3 can be written as a linear combination of ij and 02. TRUE FALSE (c) There is a vector 74 such that {ũ1, 02, 03, 04} is a basis for R4. TRUE FALSE
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 1AEXP
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