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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

7 votes
1 answer
1k views

Error in Hoffman-Kunze (normal operators on finite-dimensional inner product space with a cy...

I'm teaching a second course in advanced linear algebra, following the second half of Hoffman-Kunze. I have come across what I believe to be an error, but I want confirmation (or refutation) by expert …
Spiro Karigiannis's user avatar
5 votes
Accepted

Generalization of scalar product to k-dimensional subspaces (as opposed to 1-dimensional sub...

Let $V$ be an $n$-dimensional real vector space with an inner product $\langle \cdot,\cdot \rangle$. Then $\Lambda^k (V)$, the $k^{\text{th}}$ exterior product of $V$, inherits an induced inner produc …
Spiro Karigiannis's user avatar