Question
Mathematics Question on Determinants
If A is n × n matrix, then adj (adj A) =
A
∣A∣n−1A
B
∣A∣n−2A
C
∣A∣nA
D
none
Answer
∣A∣n−2A
Explanation
Solution
Note: If A is a non-singular matrix of order (n × n) then Adj. (Adj. A) = ∣A∣n−2 . A
If A is n × n matrix, then adj (adj A) =
∣A∣n−1A
∣A∣n−2A
∣A∣nA
none
∣A∣n−2A
Note: If A is a non-singular matrix of order (n × n) then Adj. (Adj. A) = ∣A∣n−2 . A