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Question: Answered & Verified by Expert
If A=100a-10bc1 is such that A2=I, then
MathematicsMatricesAP EAMCETAP EAMCET 2022 (04 Jul Shift 2)
Options:
  • A b=ac2
  • B b=-ac2
  • C b=a+c2
  • D b=ac
Solution:
2558 Upvotes Verified Answer
The correct answer is: b=-ac2

Given:

A=100a-10bc1

And,

A2=I

⇒100a-10bc1100a-10bc1=100010001

⇒1000102b+ac01=100010001

So,

2b+ac=0⇒b=-ac2

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