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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 />

exp<strong>and</strong>() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method), 309<br />

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

F<br />

factor() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method), 309<br />

fcp() (sage.matrix.matrix2.Matrix method), 172<br />

fcp() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method), 309<br />

find() (sage.matrix.matrix2.Matrix method), 172<br />

frobenius() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method), 325<br />

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

G<br />

gcd() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method), 325<br />

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

get_action_impl() (sage.matrix.matrix_space.MatrixSpace method), 7<br />

get_subdivisions() (sage.matrix.matrix2.Matrix method), 173<br />

gram_schmidt() (sage.matrix.matrix2.Matrix method), 173<br />

H<br />

H (sage.matrix.matrix2.Matrix attribute), 120<br />

hadamard_bound() (sage.matrix.matrix2.Matrix method), 178<br />

height() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method), 325<br />

height() (sage.matrix.matrix_rational_dense.Matrix_rational_dense method), 345<br />

hermite_form() (sage.matrix.matrix2.Matrix method), 179<br />

hermite_form() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method), 326<br />

hessenberg_form() (sage.matrix.matrix2.Matrix method), 179<br />

hessenbergize() (sage.matrix.matrix2.Matrix method), 180<br />

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

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

I<br />

I (sage.matrix.matrix2.Matrix attribute), 120<br />

identity_matrix() (in module sage.matrix.constructor), 36<br />

identity_matrix() (sage.matrix.matrix_space.MatrixSpace method), 7<br />

image() (sage.matrix.matrix2.Matrix method), 180<br />

indefinite_factorization() (sage.matrix.matrix2.Matrix method), 181<br />

index_in_saturation() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method), 329<br />

insert_row() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method), 329<br />

int_range (class in sage.matrix.strassen), 271<br />

integer_kernel() (sage.matrix.matrix2.Matrix method), 183<br />

intervals() (sage.matrix.strassen.int_range method), 272<br />

inverse() (sage.matrix.matrix2.Matrix method), 183<br />

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

invert() (sage.matrix.matrix_rational_dense.Matrix_rational_dense method), 345<br />

invert_hilbert_QQ() (in module sage.matrix.benchmark), 416<br />

is_alternating() (sage.matrix.matrix0.Matrix method), 73<br />

is_bistochastic() (sage.matrix.matrix2.Matrix method), 184<br />

is_dense() (sage.matrix.matrix0.Matrix method), 73<br />

is_dense() (sage.matrix.matrix_space.MatrixSpace method), 7<br />

is_diagonalizable() (sage.matrix.matrix2.Matrix method), 184<br />

432 Index

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