Let result be true for k
Then for k+1------
Ak+1= A.Ak
Multiply the two matrices and you'll be able to prove that the result is true for k+1
- Karan Matalia it is not A^n but A n
- Himanshu Giria Shouldn't the first matrix me A 1 instead of A
Please post better quality image.
Let result be true for k
Then for k+1------
Ak+1= A.Ak
Multiply the two matrices and you'll be able to prove that the result is true for k+1
The statement is true for n=1
so it is true for n=k
now whave to prove true for n=k+1
so matrix Ak+1= Ak + A1
add the two matrix u will prove it