If a matrix is invertible is it necessarily "one-to-one"?
1 Answer
Jan 23, 2016
A matrix cannot be "one-to-one".
Explanation:
I think you are asking if a function (often represented by matrices) is invertible, is it necessarily "one-to-one" (injective)?
The answer is yes. A function is bijective (invertible) if and only if it is injective and surjective (one-to-one and onto).
https://en.wikipedia.org/wiki/Bijection,_injection_and_surjection