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Results tagged with linear-algebra
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user 4366
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
3
votes
Generalization of Jordan Decomposition for Several Commuting Operators
Let me elaborate on Johannes Ebert's comment.
Since you are dealing with commuting operators, you can find a basis for $V$ so that the matrices for $A_1,\ldots,A_n$ are in Jordan normal form. So, $V$ …
- 1,472
2
votes
Accepted
Simultaneous Smith Normalization of a Composable Matrix Sequence
The Smith Normal Form of a product of matrices is not, in general, the product of the Smith Normal Forms. So most of the time you can't do this.
There are some results in this direction in the book …
- 1,472