Let U = span{(1,1, 1), (1, 1, 0)} C R°, V = span{(1,2, 0), (1, –1,0)} C R°, and let W = span{(1, 1, 1), (1, 1,0), (1, 2, 0), (1, –1,0)}. Find the dimensions of U, V, W,U n V and verify that dim(W) dim(U) + dim(V) – dim(U nV). You must explain your reasoning clearly at cach stage of the calcula- tion.

Let U = span{(1,1, 1), (1, 1, 0)} C R°, V = span{(1,2, 0), (1, –1,0)} C R°, and let W = span{(1, 1, 1), (1, 1,0), (1, 2, 0), (1, –1,0)}. Find the dimensions of U, V, W,U n V and verify that dim(W) dim(U) + dim(V) – dim(U nV). You must explain your reasoning clearly at cach stage of the calcula- tion.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...

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