Determine whether the following sets form sub- spaces of R³: (a) {(x1,x2, X3)" | x1 +x3 = 1} (b) {(x1, X2, x3)" | x1 = x2 = x3} (c) {(x1, x2, X3)" | x3 = x1 +x2} (d) {(x1, X2, X3)" | X3 = x1 or x3 = x2}

Determine whether the following sets form sub- spaces of R³: (a) {(x1,x2, X3)" | x1 +x3 = 1} (b) {(x1, X2, x3)" | x1 = x2 = x3} (c) {(x1, x2, X3)" | x3 = x1 +x2} (d) {(x1, X2, X3)" | X3 = x1 or x3 = x2}

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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Question

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Determine whether the following sets form sub-
spaces of R³:
(a) {(x1,X2, X3)" | x1 + x3 = 1}
(b) {(x1, x2, X3)" | x1 = x2 = x3}
(c) {(x1, X2, X3)" | X3 = x1 + x2}
(d) {(x1, X2, X3)" | X3 = x1 or x3 = X2}

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