pymatdet 1.0.2

This is a module which can be used for performing matrix operations

matrix

This is a module to replicate matrix object to python and all its mathematical operators

Installation

pip install matrix_object

Documentation

Available methods

• .rows()
• .cols()
• .principal_diagonal()
• .minor(row,col)
• .cofactor(row,col)
• trace()
• .determinant()
• .transpose()
• .adjoint()
• .inverse([presision])
• .isutriangle()
• .isltriangle()
• nullity()
• sqareness()

Available operators

• +
• -
• *
• ==
• negation
• bool

NOTE: Index of row and col start from 1

creating a matrix object

x=matrix(row,col,val)

allows null,random, ltriangle,utriangle and identity instead of val in object creation.

• null: creates a null matrix example: x=matrix(3,3,"null")

• random: creates a random matrix example: x=matrix(3,3,"random")

• ltriangle: creates a lower triangular matrix example: x=matrix(3,3,"ltriangle")

• utriangle: creates a upper triangular matrix example: x=matrix(3,3,"utriangle")

• identity: creates an identity matrix example: x=matrix(3,3,"identity")

NOTE: if you want to create a matrix with specific values, you can use the following syntax: x=matrix(row,col,val) where val is a list of lists with the values of the matrix.and appropriate dimensions.

Accessing elements

Allows value assignment using matrix[row,col]=val returns value at current index using val=matrix[row,col]

.rows()

returns number of rows in the matrix

.cols()

returns number of columns in the matrix

.principal_diagonal()

returns principal diagonal of the matrix

.minor(row,col)

returns the minor of element at given row,col

.cofactor(row,col)

returns the cofactor of element at given row,col

.trace()

returns trace of the matrix

.determinant()

returns determinant of the matrix

.transpose()

returns transpose of the given matrix

.adjoint

returns adjoint of the given matrix

.inverse([precision])

returns inverse of the given matrix.allows precision of calculation. NOTE: precision is optional.if not given,default precision is 10

.isutriangle()

returns true if the matrix is upper triangular otherwise returns false

.isltriangle()

returns true if the matrix is lower triangular otherwise returns false

.nullity()

returns true if the matrix is null otherwise returns false

.squareness()

returns true if the matrix is square otherwise returns false

using operators

• x+y returns addition of 2 matrix x and y

• x-y returns subtraction of 2 matrix x and y

• x*y returns multiplication of 2 matrix x and y

• x/y raises exception operator not available

• x==y returns true if x and y are equal

• -x returns negative of matrix x

• bool(x) returns true if x is not null