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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
2
votes
4
answers
837
views
Generalization of scalar product to k-dimensional subspaces (as opposed to 1-dimensional sub...
This came up in a practical problem (physics).
In the following, we work with real numbers only, and consider every vector to be normalized to 1.
To find how "similar" two vectors are (actually, two …
2
votes
3
answers
2k
views
Defining a canonical ordering of matrix rows/columns [closed]
I would like to find a way to define a canonical ordering of rows/columns in a matrix.
If two rows/columns cannot be ordered according to this canonical ordering (i.e. they're the "same"), then it mu …
16
votes
6
answers
13k
views
Showing block diagonal structure of matrix by reordering
Suppose we have a block-diagonal matrix $M$, but the block diagonal structure is not immediately apparent from looking at the matrix because the rows/columns are shuffled.
I wish to find a reordering …