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 sage: A = matrix(QQ, 4, range(20)) sage: A.with_swapped_columns(1, 2) [ 0 2 1 3 4] [ 5 7 6 8 9] [10 12 11 13 14] [15 17 16 18 19] Trying to swap a column with itself will succeed, but still return a new matrix. sage: A = matrix(QQ, 4, range(20)) sage: B = A.with_swapped_columns(2, 2) sage: A == B True sage: A is B False The column specifications are checked. sage: A = matrix(4, range(20)) sage: A.with_swapped_columns(-1, 2) Traceback (most recent call last): ... IndexError: matrix column index out of range sage: A.with_swapped_columns(2, 5) Traceback (most recent call last): ... IndexError: matrix column index out of range with_swapped_rows(r1, r2) Swap rows r1 and r2 of self and return a new matrix. INPUT: •r1, r2 - integers specifying rows of self to interchange OUTPUT: A new matrix, identical to self except that rows r1 and r2 are swapped. EXAMPLES: Remember that rows are numbered starting from zero. sage: A = matrix(QQ, 4, range(20)) sage: A.with_swapped_rows(1, 2) [ 0 1 2 3 4] [10 11 12 13 14] [ 5 6 7 8 9] [15 16 17 18 19] Trying to swap a row with itself will succeed, but still return a new matrix. sage: A = matrix(QQ, 4, range(20)) sage: B = A.with_swapped_rows(2, 2) sage: A == B True sage: A is B False The row specifications are checked. 94 Chapter 5. Base class for matrices, part 0
Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1 sage: A = matrix(4, range(20)) sage: A.with_swapped_rows(-1, 2) Traceback (most recent call last): ... IndexError: matrix row index out of range sage: A.with_swapped_rows(2, 5) Traceback (most recent call last): ... IndexError: matrix row index out of range sage.matrix.matrix0.set_max_cols(n) Sets the global variable max_cols (which is used in deciding how to output a matrix). EXAMPLES: sage: from sage.matrix.matrix0 import set_max_cols sage: set_max_cols(50) sage.matrix.matrix0.set_max_rows(n) Sets the global variable max_rows (which is used in deciding how to output a matrix). EXAMPLES: sage: from sage.matrix.matrix0 import set_max_rows sage: set_max_rows(20) sage.matrix.matrix0.unpickle(cls, parent, immutability, cache, data, version) Unpickle a matrix. This is only used internally by Sage. Users should never call this function directly. EXAMPLES: We illustrating saving and loading several different types of matrices. OVER Z: sage: A = matrix(ZZ,2,range(4)) sage: loads(dumps(A)) # indirect doctest [0 1] [2 3] Sparse OVER Q: Dense over Q[x, y]: Dense over finite field. 95
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Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

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