UPSC NDA I 2014 Mathematics Paper

If two rows or columns are interchanged then the value of determinant changes its sign
A=|

a	b
c	d

|
Interchanging column
B=|

b	a
d	c

|
A=−B
Similarly, interchanging rows will give
C=|

c	d
a	b

|
A=−C
Hence, C is correct.