Matrix Library Documentation

class app.lib.Matrix(*args)

Python matrix representation

A(row_i, row_j, scalar)

Adds to the elements of the row_j’th row the scalar * the corresponding elements of the row_i’th row.

M(row, scalar)

Multiply every element of the row’th row by nonzero scalar

P(row_i, row_j)

Permutes the row_i’th and row_j’th rows in self.matrix in place

augment(other)

Augments other to self. First checks if number of rows are equal eg: if self = 1 2 and other = 5

3 4 5

self.augment(other) returns 1 2 5

3 4 5

change_element(row, column, new_element)

Changes the element in the specified row and the specified column to new_element.

static dot_product(t1, t2)

Returns the dot product of two input lists

static expanded_dot_product(t1, t2)

Returns the expanded dot product of two input lists as a string

static first_nonzero(t)

Takes an input list and return the first nonzero element

static identity_matrix(n)

Returns n x n identity matrix

linear_equation_print()

Prints the matrix as a system of linear equations. Assumes that an augmented matrix is given and so the last column is the system constants while the rest of the matrix are the system coefficients.

static matrix_check(t)

Checks whether an input list can be turned into a matrix object

multiply_check(other)

Checks whether the middle dimensions are the same to do matrix multiplication.

multiply_expanded(other)

Matrix multiplication that shows expanded dot product. First checks dimensions to see if multiplication is possible for regular matrix multiplication. Accepted formats:

foo = Matrix(2, 2) bar = Matrix(2, 2, 5) print foo * bar <-> returns a matrix of the form Matrix(2,2,0)

static one_position(row, row_num)

Returns the position of the first one or an appropriate value if the row is all zeroes. The goal is that the positions of a row echelon matrix will be in increasing order.

row_echelon_check()

Checks if a matrix is in row echelon form

same_dimensions_check(other)

First makes sure both matrices are valid. Then makes sure the dimensions are the same for both.

skew_symmetric_check()

Checks if a matrix is skew symmetric (anti-symmetric). eg: transpose(A) = -A

static space_length(t)

Takes in matrix as input (eg:self.matrix) and returns length of longest element. For use in printing matrices with correct spacing.

symmetric_check()

Checks if a matrix is symmetric. eg: transpose(A) = A

transpose()

Returns the transpose of the matrix

valid_check()

Checks whether a matrix is valid. Eg: Checks whether the dimensions of self.matrix actually

correspond to self.rows and self.columns

vector_equation_print()

Prints the matrix as a system of linear equations. Assumes that an augmented matrix is given and so the last column is the system constants while the rest of the matrix are the system coefficients.