Show that 1) The columns of a (row-reduced) echelon matrix that contain the non-zero pivots are linearly independent; 2) Any set of k vectors with m components is linearly dependent when- ever k > m. Hint: Vi V2 Vk X = 0 .. тxk
Show that 1) The columns of a (row-reduced) echelon matrix that contain the non-zero pivots are linearly independent; 2) Any set of k vectors with m components is linearly dependent when- ever k > m. Hint: Vi V2 Vk X = 0 .. тxk
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 30EQ
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