Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

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Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1 312 Chapter 16. Symbolic matrices
CHAPTER SEVENTEEN DENSE MATRICES OVER THE INTEGER RING Dense matrices over the integer ring AUTHORS: • William Stein • Robert Bradshaw EXAMPLES: sage: a = matrix(ZZ, 3,3, range(9)); a [0 1 2] [3 4 5] [6 7 8] sage: a.det() 0 sage: a[0,0] = 10; a.det() -30 sage: a.charpoly() x^3 - 22*x^2 + 102*x + 30 sage: b = -3*a sage: a == b False sage: b < a True TESTS: sage: a = matrix(ZZ,2,range(4), sparse=False) sage: TestSuite(a).run() sage: Matrix(ZZ,0,0).inverse() [] class sage.matrix.matrix_integer_dense.Matrix_integer_dense Bases: sage.matrix.matrix_dense.Matrix_dense Matrix over the integers. On a 32-bit machine, they can have at most 2 32 − 1 rows or columns. On a 64-bit machine, matrices can have at most 2 64 − 1 rows or columns. EXAMPLES: 313
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Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

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