If I have a vector A with dimensions (1,3) and an other vector with dimensions B (3,1) , then the action A.*B is a matrix with dimensions (3,3) or a vector with dimensions (3,3) ?

If I have a vector A with dimensions (1,3) and an other vector with dimensions B (3,1) , then the action A.*B is a matrix with dimensions (3,3) or a vector with dimensions (3,3) ?In matlab are there well-defined vectors that have (nxn) dimensions?

Answer 1

[KL]

I think you're confused with the terms, vectors and matrices.

Vectors or Arrays

These are one dimensional. They either have one row with multiple columns (row vector) or one column with multiple rows (column vector). In your case, A is a row vector and B is a column vector.

Matrices

These can have 2 or more dimensions. A simple 2-dimensional matrix have multiple rows and multiple columns. It's also possible to create N-dimensional matrix but considering your question, that is a little beyond what you might need now.

Check this link to understand with examples : http://de.mathworks.com/help/matlab/learn_matlab/matrices-and-arrays.html

Answer 2

[Image Analyst]

Yes, this is called "automatic expansion" and was introduced in a recent version.

To answer your question, no, there are not "well-defined vectors that have (nxn) dimensions". To be called a vector one of the dimensions must be 1. If it has 2 dimensions, it's called a matrix. There are some well-defined matrices that have (nxn) dimensions, for example magic(n) produces such a matrix. There are also lots of other functions to create well known matrices such as zeros(), ones(), toeplitz(), hankel(), rand(), randi(), randn(), pdist2(), etc.