10. Determine whether each of the sets below is a basis for R³. Explain any theoremsor results you rely on in your answers.(a) X = {(1, 1, 1), (1, −1, 1), (1, 1, -1)}.(b) Y ={(1, -2, −1), (2, −3, 1), (5, −8, 1)}.(c) Z = {(1, 0, 1), (2, 2, 0), (0, 3, 3)}.

NOTE: Refresh your page if you can't see any equations. . write all 3 vectors in the matrix the…

Answered: Determine whether each of the sets…

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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Determine whether each of the sets below is a basis for R³. Explain any theorems or results you rely on in your answers. (a) X = {(1, 1, 1), (1, −1, 1), (1, 1, −1)}. (b) Y = {(1, −2, −1), (2, −3, 1), (5, —8, 1)}. (c) Z = {(1, 0, 1). 0), (0,3,3)}.