Category: Updates

Matrix to the power t.

Compute the matrix $A^t$ for the following cases: $A_1=\begin{bmatrix}0&0\\0&1\end{bmatrix}, \quad A_2=\begin{bmatrix}-1&0\\0&-2 \end{bmat...

Find $Aut(Z_{6})$

Question: Find $Aut\left ( \mathbb{Z}_{6} \right )$ Note that $\mathbb{Z}_{6}=\left \{ 0,1,2,3,4,5 \right \}$ Observe: $\forall k \in \mathbb{Z}_{6}$, $k^...

Transitive group action

I am just trying to learn what transitive group action is. It seems I understand the definition, but I still have an issue. We read on Wikipedia that (emp...