Matrix
Matrix()
A matrix with rational polynomial coefficients.
Methods
| Name | Description |
|---|---|
| content | Get the content, i.e., the GCD of the coefficients. |
| det | Return the determinant of the matrix. |
| eye | Create a new matrix with the scalars diag on the main diagonal and zeroes elsewhere. |
| from_linear | Create a new matrix from a 1-dimensional vector of scalars. |
| from_nested | Create a new matrix from a 2-dimensional vector of scalars. |
| identity | Create a new square matrix with nrows rows and ones on the main diagonal and zeroes elsewhere. |
| inv | Return the inverse of the matrix, if it exists. |
| is_diagonal | Return true iff every non- main diagonal entry in the matrix is zero. |
| is_zero | Return true iff every entry in the matrix is zero. |
| map | Apply a function f to every entry of the matrix. |
| ncols | Get the number of columns in the matrix. |
| nrows | Get the number of rows in the matrix. |
| primitive_part | Construct the same matrix, but with the content removed. |
| solve | Solve A * x = b for x, where A is the current matrix. |
| to_latex | Convert the matrix into a LaTeX string. |
| transpose | Return the transpose of the matrix. |
| vec | Create a new column vector from a list of scalars. |
content
Matrix.content()
Get the content, i.e., the GCD of the coefficients.
det
Matrix.det()
Return the determinant of the matrix.
eye
Matrix.eye(diag)
Create a new matrix with the scalars diag on the main diagonal and zeroes elsewhere.
from_linear
Matrix.from_linear(nrows, ncols, entries)
Create a new matrix from a 1-dimensional vector of scalars.
from_nested
Matrix.from_nested(entries)
Create a new matrix from a 2-dimensional vector of scalars.
identity
Matrix.identity(nrows)
Create a new square matrix with nrows rows and ones on the main diagonal and zeroes elsewhere.
inv
Matrix.inv()
Return the inverse of the matrix, if it exists.
is_diagonal
Matrix.is_diagonal()
Return true iff every non- main diagonal entry in the matrix is zero.
is_zero
Matrix.is_zero()
Return true iff every entry in the matrix is zero.
map
Matrix.map(f)
Apply a function f to every entry of the matrix.
ncols
Matrix.ncols()
Get the number of columns in the matrix.
nrows
Matrix.nrows()
Get the number of rows in the matrix.
primitive_part
Matrix.primitive_part()
Construct the same matrix, but with the content removed.
solve
Matrix.solve(b)
Solve A * x = b for x, where A is the current matrix.
to_latex
Matrix.to_latex()
Convert the matrix into a LaTeX string.
transpose
Matrix.transpose()
Return the transpose of the matrix.
vec
Matrix.vec(entries)
Create a new column vector from a list of scalars.