Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

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Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1 338 Chapter 17. Dense matrices over the integer ring
CHAPTER EIGHTEEN DENSE MATRICES OVER THE RATIONAL FIELD Dense matrices over the rational field EXAMPLES: We create a 3x3 matrix with rational entries and do some operations with it. sage: a = matrix(QQ, 3,3, [1,2/3, -4/5, 1,1,1, 8,2, -3/19]); a [ 1 2/3 -4/5] [ 1 1 1] [ 8 2 -3/19] sage: a.det() 2303/285 sage: a.charpoly() x^3 - 35/19*x^2 + 1259/285*x - 2303/285 sage: b = a^(-1); b [ -615/2303 -426/2303 418/2303] [ 2325/2303 1779/2303 -513/2303] [-1710/2303 950/2303 95/2303] sage: b.det() 285/2303 sage: a == b False sage: a b True sage: a*b [1 0 0] [0 1 0] [0 0 1] TESTS: sage: a = matrix(QQ,2,range(4), sparse=False) sage: TestSuite(a).run() class sage.matrix.matrix_rational_dense.MatrixWindow Bases: object x.__init__(...) initializes x; see help(type(x)) for signature 339
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Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

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