Convex Combination Check

Problem

Return True if the weights form a convex combination: every weight is non-negative and the weights sum to 1, both within a tolerance of 1e-9. Otherwise return False.

Hint

A convex combination is an affine combination with no negative weights.

Test cases

case 1

in: [[0.5,0.5]]

expected: true

case 2

in: [[0.2,0.3,0.5]]

expected: true

case 3

in: [[1.2,-0.2]]

expected: false

case 4

in: [[0.5,0.6]]

expected: false

case 5

in: [[1]]

expected: true

Starter codePython

def is_convex_combination(weights):
    # Your code here
    pass

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