what is unique inverse?
Asked by | 9th May, 2008, 08:36: PM
f: X to Y is invertible.
this means, f has an inverse
let g: Y to X be inverse of f = f -1
g o f = f o g = I
let inverse is not unique. let g1 : Y to X be another inverse of f
g1 o f =f o g1 = I
g1 o f =g o f
composing both sides with g, we get
(g1 o f) o g = (g o f) o g
g1 o (f o g) = g o (f o g)
g1 o I = g o I
g1 = g
hence, inverse is unique.
Answered by | 16th Jul, 2008, 09:47: AM
Related Videos
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Sign Up
Verify mobile number
Enter the OTP sent to your number
Change