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Functions:: (15 methods):
getAdjoint()
adjoint()
getCofactors()
cofactors()
getDeterminantSegment()
getDeterminant()
determinant()
diagonal()
antidiagonal()
identity()
inverse()
getMinors()
minors()
trace()
transpose()
getAdjoint(Matrix $matrix) X-Ref |
Calculate the adjoint of the matrix param: Matrix $matrix The matrix whose adjoint we wish to calculate return: Matrix |
adjoint(Matrix $matrix) X-Ref |
Return the adjoint of this matrix The adjugate, classical adjoint, or adjunct of a square matrix is the transpose of its cofactor matrix. The adjugate has sometimes been called the "adjoint", but today the "adjoint" of a matrix normally refers to its corresponding adjoint operator, which is its conjugate transpose. param: Matrix $matrix The matrix whose adjoint we wish to calculate return: Matrix |
getCofactors(Matrix $matrix) X-Ref |
Calculate the cofactors of the matrix param: Matrix $matrix The matrix whose cofactors we wish to calculate return: Matrix |
cofactors(Matrix $matrix) X-Ref |
Return the cofactors of this matrix param: Matrix $matrix The matrix whose cofactors we wish to calculate return: Matrix |
getDeterminantSegment(Matrix $matrix, $row, $column) X-Ref |
param: Matrix $matrix param: int $row param: int $column return: float |
getDeterminant(Matrix $matrix) X-Ref |
No description |
determinant(Matrix $matrix) X-Ref |
Return the determinant of this matrix param: Matrix $matrix The matrix whose determinant we wish to calculate return: float |
diagonal(Matrix $matrix) X-Ref |
Return the diagonal of this matrix param: Matrix $matrix The matrix whose diagonal we wish to calculate return: Matrix |
antidiagonal(Matrix $matrix) X-Ref |
Return the antidiagonal of this matrix param: Matrix $matrix The matrix whose antidiagonal we wish to calculate return: Matrix |
identity(Matrix $matrix) X-Ref |
Return the identity matrix The identity matrix, or sometimes ambiguously called a unit matrix, of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere param: Matrix $matrix The matrix whose identity we wish to calculate return: Matrix |
inverse(Matrix $matrix) X-Ref |
Return the inverse of this matrix param: Matrix $matrix The matrix whose inverse we wish to calculate return: Matrix |
getMinors(Matrix $matrix) X-Ref |
Calculate the minors of the matrix param: Matrix $matrix The matrix whose minors we wish to calculate return: array[] |
minors(Matrix $matrix) X-Ref |
Return the minors of the matrix The minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or more of its rows or columns. Minors obtained by removing just one row and one column from square matrices (first minors) are required for calculating matrix cofactors, which in turn are useful for computing both the determinant and inverse of square matrices. param: Matrix $matrix The matrix whose minors we wish to calculate return: Matrix |
trace(Matrix $matrix) X-Ref |
Return the trace of this matrix The trace is defined as the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of the matrix param: Matrix $matrix The matrix whose trace we wish to calculate return: float |
transpose(Matrix $matrix) X-Ref |
Return the transpose of this matrix param: Matrix $matrix The matrix whose transpose we wish to calculate return: Matrix |