Determinants Matrices Question 132
Question: If $ | A |=8, $ where.4 is square matrix of order 3, then what is $ | adjA | $ equal to-
Options:
A) $ 16 $
B) $ 24 $
C) $ 64 $
D) $ 512 $
Show Answer
Answer:
Correct Answer: C
Solution:
- [c] Let $ | A |=8 $ and A is a square matrix of order 3. We know that $ | adjA |={{| A |}^{n-1}}. $ I where -n- is the order of the matrix A.
$ \therefore | adjA |={8^{3-1}}=8^{2}=64 $