Answer:
10
Step-by-step explanation:
[1 -2]
[3 4]
We can obtain the determinant of the above matrix by doing the following:
Determinant =(1 × 4) – (3 × –2)
Determinant = 4 – – 6
Determinant = 4 + 6
Determinant = 10
Thus, the determinant of the above matrix is 10
The circle increase in area will be by a factor of 1.5
So corresponding increase in the diameter will be a factor of sqrt 1.5 = 1.2247
Answer is 22.47 %