28. True or false (give a good reason)? (a) If the columns of a matrix are dependent, so are the rows. (b) The column space of a 2 by 2 matrix is the same as its row space. (c) The column space of a 2 by 2 matrix has the same dimension as its row space. (d) The columns of a matrix are a basis for the column space.
28. True or false (give a good reason)? (a) If the columns of a matrix are dependent, so are the rows. (b) The column space of a 2 by 2 matrix is the same as its row space. (c) The column space of a 2 by 2 matrix has the same dimension as its row space. (d) The columns of a matrix are a basis for the column space.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:28. True or false (give a good reason)?
(a) If the columns of a matrix are dependent, so are the rows.
(b) The column space of a 2 by 2 matrix is the same as its row space.
(c) The column space of a 2 by 2 matrix has the same dimension as its row space.
(d) The columns of a matrix are a basis for the column space.
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