Class Matrix

Initializates a matrix.

The arguments can be either a number m and n counting rows and columns of an all-zero matrix, or a list of lists representing the rows of the matrix.

Overrides: object.__init__

Allows matrix entry assignment using [,].

The assignment works as follows:

>>> M = Matrix(2, 2)
>>> M[0, 1] = 42
>>> print M
[[ 0 42]
 [ 0  0]]

Allows matrix entry access using [, ].

The access works as follows:

>>> M = Matrix([[1, 2], [3, 4]])
>>> print M[1,1]
4

Adds another matrix or an element to this matrix.

Adds this matrix with another matrix, or adds the matrix with an element. The addition is done element-wise.

>>> A = Matrix([[x + 2*y for x in range(2)] for y in range(2)])
>>> print A
[[0 1]
 [2 3]]
>>> print A + 10
[[10 11]
 [12 13]]
>>> print A + A
[[0 2]
 [4 6]]

Matrix multiplication.

Multiplies this matrix with another matrix, or multiplies the matrix with an element.

>>> A = Matrix([[x + 2*y for x in range(2)] for y in range(2)])
>>> print A
[[0 1]
 [2 3]]
>>> print A * 10
[[ 0 10]
 [20 30]]
>>> print A * A
[[ 2  3]
 [ 6 11]]

The matrices must have compatible dimensions:

>>> Matrix(1, 5) * Matrix(2, 3)
Traceback (most recent call last):
    ...
ValueError: Matrix dimensions do not match for multiplication

Returns a string representation of the matrix.

>>> print Matrix([[x + 4*y for x in range(4)] for y in range(4)])
[[ 0  1  2  3]
 [ 4  5  6  7]
 [ 8  9 10 11]
 [12 13 14 15]]

Overrides: object.__str__