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25. For a 4x3 matrix can the nullspace, the column space and row space all be a line through the origin? For a 2x4 matrix can the nullspace, the column space and row space all be a plane through the origin?

25. For a 4x3 matrix can the nullspace, the column space and row space all be a line through the origin? For a 2x4 matrix can the nullspace, the column space and row space all be a plane through the origin?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 87E
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25. For a 4x3 matrix can the nullspace, the column space and row space all be a line through the origin? For a 2x4 matrix can the nullspace, the column space and row space all be a plane through the origin?
Transcribed Image Text:25. For a 4x3 matrix can the nullspace, the column space and row space all be a line through the origin? For a 2x4 matrix can the nullspace, the column space and row space all be a plane through the origin?
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