- #1
Raghav Gupta
- 1,011
- 76
Homework Statement
If A and B are 2 matrices such that AB = A and BA =B, then B2 is equal to
B
A
Zero matrix
I
Homework Equations
We can pre or post multiply a matrix on both sides of equation.
The Attempt at a Solution
(AB).(BA) = A.B
AB2A = A.B
Pre multiply both sides by A-1
We get B2A = AB
Implies B2AB = AB as (A = AB)
Post multiplying by B-1 and A we get B2 = I
Is this correct?