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 $