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Sage Reference Manual: Matrices and Spaces of Matrices

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CONTENTS1 Matrix <strong>Spaces</strong> 32 Matrix Constructor 153 <strong>Matrices</strong> over an arbitrary ring 593.1 Indexing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 604 Abstract base class for matrices 675 Base class for matrices, part 0 696 Base class for matrices, part 1 977 Base class for matrices, part 2 1198 Generic Asymptotically Fast Strassen Algorithms 2679 Minimal Polynomials <strong>of</strong> Linear Recurrence Sequences 27110 Base class for dense matrices 27311 Base class for sparse matrices 27712 Dense <strong>Matrices</strong> over a general ring 28513 Sparse <strong>Matrices</strong> over a general ring 28714 Dense matrices over Z/nZ for n small 28915 Sparse matrices over Z/nZ for n small 29516 Symbolic matrices 29917 Dense matrices over the integer ring 30918 Dense matrices over the rational field 33519 Dense matrices using a NumPy backend. 34520 Dense matrices over the Real Double Field using NumPy 38721 Dense matrices over the Complex Double Field using NumPy 389i

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