if A is a square matrix such that A2= I what is the inverse of A? ans fast needed its urgent plsssss
A is a square matrix such that A2 = I.
⇒ A2 A–1= I A–1 (post multiplying by A–1 on both the sides)
⇒ A (A A–1) = A–1
⇒ A I = A–1
⇒ A = A–1
if A is a square matrix such that A2= I what is the inverse of A? ans fast needed its urgent plsssss
A is a square matrix such that A2 = I.
⇒ A2 A–1= I A–1 (post multiplying by A–1 on both the sides)
⇒ A (A A–1) = A–1
⇒ A I = A–1
⇒ A = A–1