A linear transformation T is onto if and only if the columns of its standard matrix are linearly independent.  True or false

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 5E
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A linear transformation T is onto if and only if the columns of its standard matrix are linearly independent. 

True or false
 
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