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pythonarraysnumpymatrixdimensional
Chris
Chris

Reputation: 619

Multidimensional Matrix in Numpy

I read something about NumPy and it's Matrix class. In the documentation the authors write, that we can create only a 2 dimensional Matrix. So I think they mean you can only write something like this:

input = numpy.matrix( ((1,2), (3,4))

Is this right? But when I write code like this:

input = numpy.matrix( ((1,2), (3,4), (4,5)) )

it also works ... Normally I would say ok, why not, I'm not intrrested why it works. But I must write an exam for my univerity and so I must know if I've understood it right or do they mean something else with 2D Matrix?

Thanks for your help

Upvotes: 0

Views: 906

Answers (2)

Jiby
Jiby

Reputation: 1885

emre.'s answer is correct, but I would still like to address the use of numpy matrices, which might be the root of your confusion.

When in doubt about using numpy.matrix, go for ndarrays :

  • Matrix is actually a ndarray subclass : Everything a matrix can do, ndarray can do it (reverse is not exactly true).
  • Matrix overrides * and ** operators, and any operation between a Matrix and a ndarray will return a matrix, which is problematic for some algorithms.

More on the ndarray vs matrix debate on this SO post, and specifically this short answer

From Numpy documentation

matrix objects inherit from the ndarray and therefore, they have the same attributes and methods of ndarrays. There are six important differences of matrix objects, however, that may lead to unexpected results when you use matrices but expect them to act like arrays:

  • Matrix objects can be created using a string notation to allow Matlab-style syntax where spaces separate columns and semicolons (‘;’) separate rows.

  • Matrix objects are always two-dimensional. This has far-reaching implications, in that m.ravel() is still two-dimensional (with a 1 in the first dimension) and item selection returns two-dimensional objects so that sequence behavior is fundamentally different than arrays.

  • Matrix objects over-ride multiplication to be matrix-multiplication. Make sure you understand this for functions that you may want to receive matrices. Especially in light of the fact that asanyarray(m) returns a matrix when m is a matrix.

  • Matrix objects over-ride power to be matrix raised to a power. The same warning about using power inside a function that uses asanyarray(...) to get an array object holds for this fact.

  • The default __array_priority__ of matrix objects is 10.0, and therefore mixed operations with ndarrays always produce matrices.

  • Matrices have special attributes which make calculations easier. [...]

Upvotes: 0

emre.
emre.

Reputation: 1296

They both are 2D matrixes. The first one is 2x2 2D matrix and the second one is 3x2 2D matrix. It is very similar to 2D arrays in programming. The second matrix is defined as int matrix[3][2] in C for example.

Then, a 3D matrix means that it has the following definition: int 3d_array[3][2][3].

In numpy, if i try this with a 3d matrix:

>>> input = numpy.matrix((((2, 3), (4, 5)), ((6, 7), (8, 9))))
ValueError: matrix must be 2-dimensional

Upvotes: 4

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