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 May12 revised Weird Identities with Scalar Product & Transpose: $\vec{a}\cdot\vec{b} = \vec{b}^T \cdot {a}^T$, $\vec{a}^T \cdot \vec{b} = \vec{b}^T \cdot \vec{a}$? added 37 characters in body May12 comment Weird Identities with Scalar Product & Transpose: $\vec{a}\cdot\vec{b} = \vec{b}^T \cdot {a}^T$, $\vec{a}^T \cdot \vec{b} = \vec{b}^T \cdot \vec{a}$? Ok so what you wanted is to warn me that in TEXT i have to be careful how to talk about vectors and matrix. If i have for example: $$a=\begin{pmatrix}1&2&3\end{pmatrix}\qquad \vec{b}=\begin{pmatrix}4\\5\\6\end{pmatrix}$$ i can say in text that $b$ is a vector, but i can't say this for $a$ which is only a matrix $1\times 3$. But i can read in en.wikipedia.org/wiki/Matrix_multiplication that: "Treating the rows and columns in each matrix as row and column vectors respectively, this entry is also their vector dot product"? May12 comment Weird Identities with Scalar Product & Transpose: $\vec{a}\cdot\vec{b} = \vec{b}^T \cdot {a}^T$, $\vec{a}^T \cdot \vec{b} = \vec{b}^T \cdot \vec{a}$? Can you check also my edit please. May12 revised Weird Identities with Scalar Product & Transpose: $\vec{a}\cdot\vec{b} = \vec{b}^T \cdot {a}^T$, $\vec{a}^T \cdot \vec{b} = \vec{b}^T \cdot \vec{a}$? added 999 characters in body May12 comment Weird Identities with Scalar Product & Transpose: $\vec{a}\cdot\vec{b} = \vec{b}^T \cdot {a}^T$, $\vec{a}^T \cdot \vec{b} = \vec{b}^T \cdot \vec{a}$? I don't understand what you are trying to say. @Alfonso Fernandez says i did it ok. Can you please try to explain it on an example? May12 comment Weird Identities with Scalar Product & Transpose: $\vec{a}\cdot\vec{b} = \vec{b}^T \cdot {a}^T$, $\vec{a}^T \cdot \vec{b} = \vec{b}^T \cdot \vec{a}$? At the moment only unclarity to me is what @Samuel wrote. I don't get it. May12 asked Weird Identities with Scalar Product & Transpose: $\vec{a}\cdot\vec{b} = \vec{b}^T \cdot {a}^T$, $\vec{a}^T \cdot \vec{b} = \vec{b}^T \cdot \vec{a}$? May12 comment I need a proof for a scalar product - no numbers allowed Could you post a bit more. How can you get $\mathbf{a} \cdot \mathbf{b} = a_1b_1 + a_2 b_2$ out of your post ??? May11 accepted I need a proof for a scalar product - no numbers allowed May11 asked I need a proof for a scalar product - no numbers allowed May11 comment Complex numbers and absolute values But it could allso be real right? May11 comment Complex numbers and absolute values But there is a possibility that $\psi$ is complex? May11 accepted Complex numbers and absolute values May11 comment Complex numbers and absolute values This means $\left|\psi\right|$ is always real and $\psi$ complex? Can you please edit your anwser and show me how you got equation $\left|\psi\right|=\sqrt{\alpha^2+\beta^2}$. May11 asked Complex numbers and absolute values May8 awarded Tumbleweed May5 asked Complex 3-D Euclidean space - inner product May4 accepted Differential equation with no constants. Apr29 asked Differential equation with no constants. Apr25 comment Solving a system of four equations Yes they vary in $\mathbb{R}$ and i used matrices, because i know that my system can be written in a matrix form (check my edit).