Question

Let$A = \lbrack a_{ij}\rbrack_{n \times n}$be a square matrix and let $c_{ij}$be cofactor of $a_{ij}$in A. If$C = \lbrack c_{ij}\rbrack$, then.

• A. $|C| = |A|$
• B. $|C| = |A|^{n - 1}$
• C. $|C| = |A|^{n - 2}$
• D. None of these

Answer 1

Answer: (B)

$|C| = |A|^{n - 1}$

Answer 2

It is a fundamental concept.