MediumCalculusca-069

Hessian Determinant

Problem

For f(x, y) = a*x^2 + b*x*y + c*y^2 the Hessian is the constant matrix [[2a, b], [b, 2c]].

Return its determinant 4*a*c - b^2, which distinguishes minima, maxima, and saddle points.

Hint

For a 2x2 matrix [[p, q], [q, r]] the determinant is p*r - q^2.

case 1

in: [1,2,3]

expected: 8

case 2

in: [1,0,1]

expected: 4

case 3

in: [1,2,2]

expected: 4

case 4

in: [0,1,0]

expected: -1

case 5

in: [2,4,2]

expected: 0

Starter codePython

def hessian_determinant(a, b, c):
    # Your code here
    pass

5 test cases · run your code against them in the editor