Sage Reference Manual: Matrices and Spaces of Matrices - Mirrors

Sage Reference Manual: Matrices and Spaces of Matrices, Release 6.1.1
[0 1 0]
[0 0 1]
sage: ith_to_zero_rotation_matrix((1,0,0), 2)
[1 0 0]
[0 1 0]
[0 0 1]
AUTHORS:
Sebastien Labbe (April 2010)
sage.matrix.constructor.jordan_block(eigenvalue, size, sparse=False)
This function is available as jordan_block(...) and matrix.jordan_block(...).
Returns the Jordan block for the given eigenvalue with given size.
INPUT:
•eigenvalue - eigenvalue for the diagonal entries of the block
•size - size of the square matrix
•sparse - (default: False) - if True, return a sparse matrix
EXAMPLE:
sage: jordan_block(5, 3)
[5 1 0]
[0 5 1]
[0 0 5]
TESTS:
sage: jordan_block(6.2, ’junk’)
Traceback (most recent call last):
...
TypeError: size of Jordan block needs to be an integer, not junk
sage: jordan_block(6.2, -1)
Traceback (most recent call last):
...
ValueError: size of Jordan block must be non-negative, not -1
sage.matrix.constructor.matrix_method(func=None, name=None)
Allows a function to be tab-completed on the global matrix constructor object.
INPUT:
•*function – a single argument. The function that is being decorated.
•**kwds – a single optional keyword argument name=. The name of the corresponding
method in the global matrix constructor object. If not given, it is derived from the function name.
EXAMPLES:
sage: from sage.matrix.constructor import matrix_method
sage: def foo_matrix(n): return matrix.diagonal(range(n))
sage: matrix_method(foo_matrix)
sage: matrix.foo(5)
[0 0 0 0 0]
[0 1 0 0 0]
[0 0 2 0 0]
[0 0 0 3 0]
38 Chapter 2. Matrix Constructor