Flag Engineering Entrance Exams> If A2 – A + I = 0, then the inverse of th...
question mark

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

Ashwani sinha , 11 Years ago
Grade
anser 2 Answers
Arun

Last Activity: 5 Years ago

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

Last Activity: 5 Years ago

 
Given that A2 – A + I = 0
If we multiply both sides by A-1 we have,
A-1 (A2 – A + I) = A-1 .0 = 0
Hence, A – I + A-1 = 0
This gives A-1 = -(A – I)
= I – A.
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments



question mark
Hello,
 
Can we learn and prepare for MHT-CET online ?
engineering entrance exams
1 Answer Available

Last Activity: 3 Years ago