Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If A = 
, then show that A 3 = 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Method -1
A 2 = A.A = 
⇒ A 2 = 
⇒ A 3 = A 2 . A = 
⇒ A 3 = 
Method – 2 (mathematical Induction)
A 1 = 
Let A m = 
⇒ A m+1 = 
Also A m+1 = A m . A = 
= 
= 
If A m is true then A m+1 is also true so A m is true in general
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