Therefore (0,0, 0) e W. Ex 6. If W, and W2 be any two sub-spaces of a vector space V, then inW, is also a sub-space of V in F. Prove this and give an example.
Therefore (0,0, 0) e W. Ex 6. If W, and W2 be any two sub-spaces of a vector space V, then inW, is also a sub-space of V in F. Prove this and give an example.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...
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![Furthermore, (1) is satisfied for x1 = x2 = X3 = 0.
%3D
Therefore (0, 0,0) e W.
Ex 6. If W, and W2 be any two sub-spaces of a vector space V, then
inWz is also a sub-space of V in F. Prove this and give an example.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa99694a8-544b-4bb7-bd99-fe22742c2f49%2Ff2a4f458-aba7-4193-8443-ce51c993a275%2Fmzj09y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Furthermore, (1) is satisfied for x1 = x2 = X3 = 0.
%3D
Therefore (0, 0,0) e W.
Ex 6. If W, and W2 be any two sub-spaces of a vector space V, then
inWz is also a sub-space of V in F. Prove this and give an example.
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