Advertisements
Advertisements
Question
If A2 - A + I = 0, then A-1 = ______.
Options
A-2
A + I
I - A
A - I
MCQ
Fill in the Blanks
Solution
If A2 - A + I = 0, then A-1 = I - A.
Explanation:
A2 - A + I = 0
⇒ A·A - A + I = 0
⇒ A-1·A·A - A-1·A + A-1· I = 0
⇒ A - I + A-1 = 0
⇒ A-1 = I - A
shaalaa.com
Is there an error in this question or solution?
