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}} $