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Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

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<strong>Sage</strong> <strong>Reference</strong> <strong>Manual</strong>: <strong>Matrices</strong> <strong>and</strong> <strong>Spaces</strong> <strong>of</strong> <strong>Matrices</strong>, Release 6.1.1<br />

det_hilbert_QQ() (in module sage.matrix.benchmark), 415<br />

det_QQ() (in module sage.matrix.benchmark), 414<br />

det_ZZ() (in module sage.matrix.benchmark), 414<br />

determinant() (sage.matrix.matrix2.Matrix method), 150<br />

determinant() (sage.matrix.matrix_double_dense.Matrix_double_dense method), 360<br />

determinant() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method), 319<br />

determinant() (sage.matrix.matrix_modn_dense.Matrix_modn_dense method), 295<br />

determinant() (sage.matrix.matrix_mpolynomial_dense.Matrix_mpolynomial_dense method), 399<br />

determinant() (sage.matrix.matrix_rational_dense.Matrix_rational_dense method), 343<br />

determinant() (sage.matrix.matrix_sparse.Matrix_sparse method), 285<br />

diagonal() (sage.matrix.matrix2.Matrix method), 152<br />

diagonal_matrix() (in module sage.matrix.constructor), 28<br />

dict() (sage.matrix.matrix0.Matrix method), 72<br />

dict_to_list() (in module sage.matrix.matrix_space), 12<br />

dimension() (sage.matrix.matrix_space.MatrixSpace method), 5<br />

dimensions() (sage.matrix.matrix0.Matrix method), 72<br />

dims() (sage.matrix.matrix_space.MatrixSpace method), 6<br />

E<br />

echelon_form() (sage.matrix.matrix2.Matrix method), 152<br />

echelon_form() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method), 321<br />

echelon_form() (sage.matrix.matrix_mpolynomial_dense.Matrix_mpolynomial_dense method), 400<br />

echelon_form() (sage.matrix.matrix_rational_dense.Matrix_rational_dense method), 343<br />

echelon_QQ() (in module sage.matrix.benchmark), 415<br />

echelonize() (sage.matrix.matrix2.Matrix method), 153<br />

echelonize() (sage.matrix.matrix_modn_dense.Matrix_modn_dense method), 295<br />

echelonize() (sage.matrix.matrix_mpolynomial_dense.Matrix_mpolynomial_dense method), 401<br />

echelonize() (sage.matrix.matrix_rational_dense.Matrix_rational_dense method), 344<br />

eigenmatrix_left() (sage.matrix.matrix2.Matrix method), 155<br />

eigenmatrix_right() (sage.matrix.matrix2.Matrix method), 156<br />

eigenspaces_left() (sage.matrix.matrix2.Matrix method), 157<br />

eigenspaces_left() (sage.matrix.matrix_double_dense.Matrix_double_dense method), 361<br />

eigenspaces_right() (sage.matrix.matrix2.Matrix method), 162<br />

eigenspaces_right() (sage.matrix.matrix_double_dense.Matrix_double_dense method), 362<br />

eigenvalues() (sage.matrix.matrix2.Matrix method), 164<br />

eigenvalues() (sage.matrix.matrix_double_dense.Matrix_double_dense method), 363<br />

eigenvalues() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method), 306<br />

eigenvectors_left() (sage.matrix.matrix2.Matrix method), 165<br />

eigenvectors_left() (sage.matrix.matrix_double_dense.Matrix_double_dense method), 365<br />

eigenvectors_left() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method), 306<br />

eigenvectors_right() (sage.matrix.matrix2.Matrix method), 166<br />

eigenvectors_right() (sage.matrix.matrix_double_dense.Matrix_double_dense method), 366<br />

eigenvectors_right() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method), 307<br />

elementary_divisors() (sage.matrix.matrix2.Matrix method), 166<br />

elementary_divisors() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method), 324<br />

elementary_matrix() (in module sage.matrix.constructor), 31<br />

elementwise_product() (sage.matrix.matrix2.Matrix method), 167<br />

exp() (sage.matrix.matrix2.Matrix method), 169<br />

exp() (sage.matrix.matrix_double_dense.Matrix_double_dense method), 367<br />

exp() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method), 308<br />

Index 431

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