Find a basis for the vector space of all 3 x 3 diagonal matrices.0 0 11 00 1 00 1 00 1 01 0 00 1 00 0 11 0 01 1 10 0 00 0 01 1 10 0 00 0 00 0 00 0 01 1 10 1 01 0 01 0 00 0 10 0 10 1 00 1 01 0 00 0 11 0 00 0 00 0 00 0 01 0 00 0 00 0 00 0 01 0 00 0 00 0 01 0 00 0 00 1 00 0 00 0 00 00 0 1What is the dimension of this vector space?

Answered: Image /qna-images/answer/eba98be6-d893-420b-b02a-cc477d8174cf.jpg

Find a basis for the vector space of all 3 x 3 diagonal matrices. 0 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 1 0 10 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 What is the dimension of this vector space?

Find a basis for the vector space of all 3 x 3 diagonal matrices. 0 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 1 0 10 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 What is the dimension of this vector space?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.5: Basis And Dimension

Problem 70E: Find a basis for R3 that includes the vector (1,0,2) and (0,1,1).

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