This package includes functions which can help with many linear algebra problems.
Project description
Documentation of package lin_algebra
This is the documentation of a package named lin-algebra. This package includes a function which can help with many linear algebra problems.
Copyright (c) 2021 Wojciech Fiołka
lin-algebra.Matrix
Constructor
Take a two-dimensional list as a parameter and make a Matrix object.
Operators overloaded
- (+) add two matrices and return a Matrix object with added elements.
- (-) subtract two matrices and return a Matrix object with subtracted elements.
- (* num) (type float or int) multiply all elements of Matrix by the number.
- (* Matrix) make matrix multiplication and return the Matrix object of it.
- (+=) add each element of the called Matrix to the corresponding element.
- (-=) subtract each element of the called Matrix by corresponding element.
- (*= num) (type float or int) multiply all elements of the called Matrix by the number.
- (*= Matrix) make matrix multiplication and change called Matrix to the result of it.
- (==) return true if all elements are the same.
- (!=) return true if it is the difference between two matrices.
Operations on matrices
- det() return determinant of the squared matrix.
- is_squared() return true if the matrix is squared and false if it is not.
- T() return a Matrix objets which is the transpose of the called matrix.
- inv() return a Matrix object which is inverse of the called matrix.
Operations on the diagonal and antidiagonal
- is_diagonal() return if the called matrix is diagonal.
- get_main_diagonal() return list includes elements of main diagonal.
- is_identity() return if the called matrix is identity.
- is_antidiagonal() return if the called matrix is anti-diagonal.
- get_antidiagonal() return list includes elements of antidiagonal.
- is_exchange() return if the called matrix is exchanged.
- trace() return trace of diagonal matrix.
Other functions
- size() return tuple with number of rows and columns.
- print() print matrix.
- gen_zero(rows, columns) return Matrix objects with size specified by rows and columns.
- gen_random(rows, columns) return Matrix objects with size specified by rows and columns.
lin-algebra.Vector
Constructor
Take as parameter one-dimensional list and create Vector object
Overloaded operators
- (+) add two vectors and return a Vector object with added elements.
- (-) subtract two vectors and return a Vector object with subtracted elements.
- (* num) (type float or int) multiply all elements of Vector by the number.
- (* Vector) make a dot product and return the result of it.
- (+=) add to each element of the called Vector the corresponding element.
- (-=) subtract each element of the called Vector by corresponding element.
- (*= num) (type float or int) multiply all elements of the called Vector by the number.
- (*= Vector) make a dot product and change the called Vector to the result of it.
- (==) return true if all elements are the same.
- (!=) return true if it is the difference between two vectors.
Operations on vectors
- vector_scalar_product(scalar) multiply each element by scalar and return the new vector
- dot(V1) return dot product of vectors
- cross(V1) return tuple includes Vector object with elements created by cross product and length of the result vector
Other functions
- size() return the size of the Vector.
- length() return the length of the Vector.
- print() prints vector.
- gen_zero(dimensions) return Vector object of zero vector
- gen_random(dimensions) return Vector object with random values from 0 to 30
Project details
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lin-algebra-1.0.5.tar.gz
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