Module pywander.math.linear_algebra
linear algebra
the prefix explanation
a : an array v : a vector m : the linear equation system left matrix b : the linear equation right b array am : [argumented matrix] combine m and b to a entire linear system matrix
Functions
def add_rows(m, row_num_1, row_num_2, row_num_1_multiple)-
Gaussian elimination basic operation 3
def combine_system(m, b)-
combine m and b to system
def cos(v1, v2)-
calc the cosine similarity between two vectors. Parameters
v1v2
Returns
def determinant(m)-
calc the determinant
def dot_product(v1, v2)-
get the dot product of two vectors
def l2norm(v)-
get the l2 norm of a vector
def matrix_multiplication(m1, m2)-
notice: ndim=1 array is a vector, can not apply here.
def multiply_row(m, row_num, row_num_multiple)-
Gaussian elimination basic operation 2
def solve(m, b)-
solve the linear equation system
def swap_rows(m, row_num_1, row_num_2)-
Gaussian elimination basic operation 1 swap two rows