Nilpotent Matrix Check

Problem

Return True if A is nilpotent, meaning some power of A is the zero matrix.

For an n x n matrix it is enough to check A^n, within a tolerance of 1e-9. Otherwise return False.

Hint

Nilpotency index is at most n; the zero matrix is trivially nilpotent.

case 1

in: [[[0,1],[0,0]]]

expected: true

case 2

in: [[[0,1,0],[0,0,1],[0,0,0]]]

expected: true

case 3

in: [[[1,0],[0,0]]]

expected: false

case 4

in: [[[0,0],[0,0]]]

expected: true

Starter codePython

def is_nilpotent(A):
    # Your code here
    pass

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