Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

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