TR3.5
Bijective Functions
Exr0n
2021-09-27 Mon 11:51
Backlinks
Surjectivity of Functions
Invertibility of Linear Maps
Injectivity (math)
Table of Contents
1. #definition bijective
def
1.1. Results
1.1.1. If a map \(T : V \to W\) is bijective, then \(\text{dim }V = \text{dim }W\) by Axler3.23 and Axler3.24.
1
#definition bijective
def
A map is bijective if it is both
injective
and
bijective
.
1.1
Results
1.1.1
If a map \(T : V \to W\) is bijective, then \(\text{dim }V = \text{dim }W\) by Axler3.23 and Axler3.24.