# Questions tagged [linear-algebra]

To be used for linear algebra, and closely related disciplines such as tensor algebras and maybe clifford algebras.

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### Vector representation in dual space

I'm new to tensor analysis, and came across the topic of vectors and duals, and faced a massive confusion. Are vectors and duals different representations of the same object ? I had another doubt ...
1answer
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### How to map the eigenvectors of a superoperator into the corresponding operators?

The set of linear operators acting on a $d$ dimensional Hilbert space, $H$ form a vector space, called operator space $\mathcal{L}(H)$. Elements of operator space are $d \times d$ matrices. Now the ...
2answers
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### Dumb notation question about bra-ket

Is $\langle b | A^T | a \rangle = \langle a | A | b \rangle ^ *$ where $^*$denotes complex conjugation? Edit Maybe I should add some more info here and clear things up. First, $A$ is not necessarily ...
1answer
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### Is there any importance to notations like $| \Omega V\rangle$, $|aV\rangle$?

I'm not really liking this notation. Before this notation, neither of bras and kets have any preference over the other. Either of $|V\rangle$ and $\langle V|$ can be understood as the adjoint of the ...
1answer
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### Why not just complex conjugate bras and kets instead of Hermitian conjugate?

I read that one equation involving bras, kets and operators, implies another equation (its transpose conjugate), analogous to how one equation involving complex numbers implies its complex conjugate ...
3answers
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### What is the easiest explanation of a tensor for a non-expert? (not a duplicate question, please read the body!) [closed]

I know this question has been asked before, but when I was looking into tensors for the first time I never found a good straightforward explanation of what a tensor is and why it is important. I tried ...
0answers
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