If A2 – A + I = 0, then the inverse of the matrix A is
(A) A – I (B) I – A (C) A + I (D) A

Question

If A2 – A + I = 0, then the inverse of the matrix A is (A) A – I (B) I – A (C) A + I (D) A

Arun · Answer

Dear student A^2 – A + I = 0 pre multiply by A^-1 A – I + A^-1 = 0 hence A^-1 = I – A so option B is correct

Vikas TU · Answer

Given that A 2 – A + I = 0 If we multiply both sides by A -1 we have, A -1 (A 2 – A + I) = A -1 . 0 = 0 Hence, A – I + A -1 = 0 This gives A -1 = -(A – I) = I – A.

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

If A2 – A + I = 0, then the inverse of the matrix A is (A) A – I (B) I – A (C) A + I (D) A

If A2 – A + I = 0, then the inverse of the matrix A is
(A) A – I (B) I – A (C) A + I (D) A

2 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Engineering Entrance Exams

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship