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Find a basis for the vector space of all 3 × 3 diagonal matrices. 100 o o o o o0 O0 0 o 0 10 00 o 0 0 0 0 0 0 0 0 1 1 0 0] [0 10] [0 0 1]

Find a basis for the vector space of all 3 × 3 diagonal matrices. 100 o o o o o0 O0 0 o 0 10 00 o 0 0 0 0 0 0 0 0 1 1 0 0] [0 10] [0 0 1]

Elementary Linear Algebra (MindTap Course List)
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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Find a basis for the vector space of all 3 x 3 diagonal matrices. 0 0 0 0 0 0 10 0] O0 0 0 . 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 100 0 10 0 0 1 0 1 0 0 0 1 0 10 0 1 0 0 10 1 00 0 0 0 0 0 0 0 0 0 1 0 0 100 0 0 0 1 0 0 0 0 0 0 0 0 11 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 10 0 0 10 0 0 1 100 0 10 0 0 1 100 0 10 0 0 1 What is the dimension of this vector space?
Transcribed Image Text:Find a basis for the vector space of all 3 x 3 diagonal matrices. 0 0 0 0 0 0 10 0] O0 0 0 . 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 100 0 10 0 0 1 0 1 0 0 0 1 0 10 0 1 0 0 10 1 00 0 0 0 0 0 0 0 0 0 1 0 0 100 0 0 0 1 0 0 0 0 0 0 0 0 11 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 10 0 0 10 0 0 1 100 0 10 0 0 1 100 0 10 0 0 1 What is the dimension of this vector space?
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