Ошибка в коде

import numpy as np
def solve_with_rotation(m):
    n = len(m)
    for i in range(n-1):
        for j in range(i + 1, n):
            c = m[i, i] / (m[i, i]**2 + m[j, i]**2) ** .5
            s = m[j, i] / (m[i, i]**2 + m[j, i]**2) ** .5
            tmp1 = m[i, :] * c + m[j, :] * s
            tmp2 = m[i, :] * -s + m[j, :] * c
            #m[i, :] = tmp1
            #m[j, :] = tmp2
    for row in m:
        print(row)
 
 
matrix = np.array(([1, 5, 3, -4, 20],[3, 1, -2, 0, 9],[5, -7, 0, 10, -9], [0, 3, -5, 0, 1]))
solve_with_rotation(matrix)

def rotation(m):
    tmp1, tmp2 = [], []
    n = len(m)
    for i in range(n-1):
        for j in range(i+1, n):
            c = m[i][i] / (m[i][i]**2 + m[j][i]**2) ** .5
            s = m[j][i] / (m[i][i]**2 + m[j][i]**2) ** .5 
            tmp1 = [m[i][k] * c + m[j][k] * s for k in range(len(m[i]))]
            tmp2 = [m[i][k] * -s + m[j][k] * c for k in range(len(m[i]))]
            #for k in range(len(m[i])):
                #m[i][k] = tmp1[k]
                #m[j][k] = tmp2[k]
    for row in m:
        print(row)
 
 
matrix = [[1, 5, 3, -4, 20],[3, 1, -2, 0, 9],[5, -7, 0, 10, -9], [0, 3, -5, 0, 1]]
 
rotation(matrix)