Advertisements
Advertisements
Question
If A = `[(0, 0, 1), (0, 1, 0), (1, 0, 0)]`, then A-1 = ______
Options
I
-I
-A
A
MCQ
Fill in the Blanks
Advertisements
Solution
If A = `[(0, 0, 1), (0, 1, 0), (1, 0, 0)]`, then A-1 = A
Explanation:
`A^-1 = 1/|A|`(adj A)
= `1/(-1)[(0, 0, -1), (0, -1, 0), (-1, 0, 0)]`
= `[(0, 0, 1), (0, 1, 0), (1, 0, 0)]`
∴ `A^-1 = A`
shaalaa.com
Is there an error in this question or solution?
