How many times is the value of the determinant of 2x2 matrix increase when each element of the matrix is multiplied by:
a) 2
b) 3
c) -2
d) -3
e) k
Multiplying each element by an integer n scales the determinant up by a factor of n^2
Example
a b = ad - bc
c d
but .... an bn = adn^2 - bcn^2 = n^2 [ad - bc ]
cn dn
