7. In the following problems check to see if the set S is a vector subspace of the corresponding R. If it is not, explain why not. If it is, then find a basis and the dimension. (a) S = (b) S = {[],+,"} X1 x12x2 = x3 CR³ {[1], 4+4 = 1} CR³ X2
7. In the following problems check to see if the set S is a vector subspace of the corresponding R. If it is not, explain why not. If it is, then find a basis and the dimension. (a) S = (b) S = {[],+,"} X1 x12x2 = x3 CR³ {[1], 4+4 = 1} CR³ X2
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.10P: Solve the preceding problem for the following data: x=190106,y=230106,xy=160106,and=45.
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![7. In the following problems check to see if the set S is a vector subspace of the corresponding
R. If it is not, explain why not. If it is, then find a basis and the dimension.
(a) S
=
(b) S =
{[],+,"}
X1
x12x2 = x3
CR³
{[1], 4+4 = 1} CR³
X2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9dbfc7fb-a413-4022-837a-2d96d1ed5f2a%2F5633b4e4-75a0-4005-acab-ce7d7d2222b6%2F8f61st5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. In the following problems check to see if the set S is a vector subspace of the corresponding
R. If it is not, explain why not. If it is, then find a basis and the dimension.
(a) S
=
(b) S =
{[],+,"}
X1
x12x2 = x3
CR³
{[1], 4+4 = 1} CR³
X2
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