True or false (with reason if true or example to show it is false): (a) A square matrix has no free variables. (b) An invertible matrix has no free variables. (c) An m by n matrix has no more than n pivot variables.
True or false (with reason if true or example to show it is false): (a) A square matrix has no free variables. (b) An invertible matrix has no free variables. (c) An m by n matrix has no more than n pivot variables.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 41EQ:
In general, it is difficult to show that two matrices are similar. However, if two similar matrices...
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