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Results tagged with linear-algebra
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user 127215
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
2
votes
1
answer
178
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Given a chain of commuting matrices over the complex numbers, can we build one over the real...
Suppose we have two $n\times n$ matrices $A$ and $B$ with entries in $\mathbb{R}$, and two non-scalar matrices $X$ and $Y$ with entries in $\mathbb{C}$, such that $AX=XA$, $XY=YX$, and $BY=YB$.
Is it …
- 421
1
vote
Given a chain of commuting matrices over the complex numbers, can we build one over the real...
Update: it turns out the answer is no! See for instance Example 4.14 here.
- 421