Answer:
Step-by-step explanation:
A 2 × 2 matrix has 2 rows and 2 columns
Let us assume that matrix A is expressed as
a b
c d
The determinant of matrix A would be
(a × d) - (b × c)
Given that the determinant of matrix A is 3, it means that
ad + bc = 3
If we switch the rows, the first row becomes cd and the second row becomes ab. If we multiply the first row by 6 and the second row by 2, the matrix becomes
6c 6d
2a 2b
The determinant would be
(6c × 2b) - (2a × 6d)
Determinant = 12bc - 12ad
