Answered: 7.) Find a basis for the subspace V of…

7.) Find a basis for the subspace V of R4 consisting of all vectors of the form (a, b, c, a +b+c), and state its dimension. Another way or writing this subspace is V = {(a, b, c, d) : d = a +b+c}

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Based on other problems I believe the dimension is 3, but I'm not sure how to find a basis given this subspace.

7.) Find a basis for the subspace V of R4 consisting of all vectors of the form (a, b, c, a + b + c), and state its dimension. Another way or writing this
subspace is
V = {(a, b, c, d) : d=a+b+c}

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