Determinants Matrices Question 54

Question: If A is a square matrix of order 3 with $ | A |\ne 0, $ then which one of the following is correct-

Options:

A) $ | adjA |=| A | $

B) $ | adjA |={{| A |}^{2}} $

C) $ | adjA |={{| A |}^{3}} $

D) $ {{| adjA |}^{2}}=| A | $

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] $ | adj .A{{| = |}^{n-1}} $ {n is order od square matrix} If A is square matrix of order 3, then $ | adj .A| = |{{. A |}^{2}} $