\MatrixFunctions

adjoint()

adjoint(\Matrix\Matrix  $matrix) : \Matrix\Matrix

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.

Parameters

Throws

\Matrix\Exception

Returns

cofactors()

cofactors(\Matrix\Matrix  $matrix) : \Matrix\Matrix

Return the cofactors of this matrix

Parameters

Throws

\Matrix\Exception

Returns

determinant()

determinant(\Matrix\Matrix  $matrix) : float

Return the determinant of this matrix

Parameters

Throws

\Matrix\Exception

Returns

diagonal()

diagonal(\Matrix\Matrix  $matrix) : \Matrix\Matrix

Return the diagonal of this matrix

Parameters

Throws

\Matrix\Exception

Returns

antidiagonal()

antidiagonal(\Matrix\Matrix  $matrix) : \Matrix\Matrix

Return the antidiagonal of this matrix

Parameters

Throws

\Matrix\Exception

Returns

identity()

identity(\Matrix\Matrix  $matrix) : \Matrix\Matrix

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

Parameters

Throws

\Matrix\Exception

Returns

inverse()

inverse(\Matrix\Matrix  $matrix) : \Matrix\Matrix

Return the inverse of this matrix

Parameters

Throws

\Matrix\Exception

Returns

minors()

minors(\Matrix\Matrix  $matrix) : \Matrix\Matrix

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.

Parameters

Throws

\Matrix\Exception

Returns

trace()

trace(\Matrix\Matrix  $matrix) : float

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

Parameters

Throws

\Matrix\Exception

Returns

transpose()

transpose(\Matrix\Matrix  $matrix) : \Matrix\Matrix

Return the transpose of this matrix

Parameters

Returns

getMinors()

getMinors(\Matrix\Matrix  $matrix) : array<mixed,array>

Calculate the minors of the matrix

Parameters

Throws

\Matrix\Exception

Returns

getAdjoint()

getAdjoint(\Matrix\Matrix  $matrix) : \Matrix\Matrix

Calculate the adjoint of the matrix

Parameters

Throws

\Matrix\Exception

Returns

getCofactors()

getCofactors(\Matrix\Matrix  $matrix) : \Matrix\Matrix

Calculate the cofactors of the matrix

Parameters

Throws

\Matrix\Exception

Returns

getDeterminantSegment()

getDeterminantSegment(\Matrix\Matrix  $matrix, integer  $row, integer  $column) : float

Parameters

Throws

\Matrix\Exception

Returns

getDeterminant()

getDeterminant(\Matrix\Matrix  $matrix) : float

Calculate the determinant of the matrix

Parameters

Throws

\Matrix\Exception

Returns