Pascal Matrix

Problem

Build the n x n symmetric Pascal matrix:

P[i][j] = C(i + j, i)

where C is the binomial coefficient. Its rows follow the diagonals of Pascal's triangle.

Hint

math.comb(k, r) gives the binomial coefficient directly.

case 1

in: [1]

expected: [[1]]

case 2

in: [2]

expected: [[1,1],[1,2]]

case 3

in: [3]

expected: [[1,1,1],[1,2,3],[1,3,6]]

case 4

in: [4]

expected: [[1,1,1,1],[1,2,3,4],[1,3,6,10],[1,4,10,20]]

Starter codePython

def pascal_matrix(n):
    # Your code here
    pass

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