- Construct a matrix with the required property or explain why this is impossible: (i) Column space contains (1, 0, 1), (1, 1,0), row space contains (1, 2), (2, 1). (ii) Row space is equal to column space, null space is not equal to left null 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 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...
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- Construct a matrix with the required property or explain why this is impossible:
(i) Column space contains (1, 0, 1), (1, 1, 0), row space contains (1, 2), (2, 1).
(ii) Row space is equal to column space, null space is not equal to left null space.
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Transcribed Image Text:- Construct a matrix with the required property or explain why this is impossible: (i) Column space contains (1, 0, 1), (1, 1, 0), row space contains (1, 2), (2, 1). (ii) Row space is equal to column space, null space is not equal to left null space. ^
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