Let W = {(a, b, c, d) : a + 2b = c, d= 3a} be a subspace of R', then one of the following is a basis for W %3D A) {(1,0,3, 1), (0, 1,0, 2)} B) {(1,0,3, 2), (0, 1,0, 1)} C) {(1,0,0, 1), (0, 1,3, 2)} D) {(1,0, 1, 3), (0, 1, 2, 0)}

Let W = {(a, b, c, d) : a + 2b = c, d= 3a} be a subspace of R', then one of the following is a basis for W %3D A) {(1,0,3, 1), (0, 1,0, 2)} B) {(1,0,3, 2), (0, 1,0, 1)} C) {(1,0,0, 1), (0, 1,3, 2)} D) {(1,0, 1, 3), (0, 1, 2, 0)}

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

Let W = {(a, b, c, d) : a + 2b = c, d= 3a} be a subspace of R',
then one of the following is a basis for W
%3D
A) {(1,0,3, 1), (0, 1,0, 2)}
B) {(1,0,3, 2), (0, 1,0, 1)}
C) {(1,0,0, 1), (0, 1,3, 2)}
D) {(1,0, 1, 3), (0, 1, 2, 0)}

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