Intereting Posts

Show that in a UFD, prime elements are irreducible
Complex Numbers Geometry
Question about weak convergence, $\lbrace f(x_{n}) \rbrace$ converges for all $n$, then $x_{n} \rightharpoonup x$
Surjective Function from a Cantor Set
Formula for calculating $\sum_{n=0}^{m}nr^n$
Equilibrium distributions of Markov Chains
How can I evaluate this indefinite integral? $\int\frac{dx}{1+x^8}$
Simplifying the expression of a product of inner products
Is the unit sphere in $\Bbb R^4$ is path connected?
Differentiate the following w.r.t. $\tan^{-1} \left(\frac{2x}{1-x^2}\right)$
Irreducible fibers of a closed subset implies irreducibility
Another Epsilon-N Limit Proof Question
Binary expansion Unique
How do I go about simplifying this complex radical?
Find all integer solutions for the equation $|5x^2 – y^2| = 4$

In the wikipedia entry on Trace Diagrams (see http://en.wikipedia.org/wiki/Trace_diagram), the statement is made that “The simplest trace diagrams represent the trace and determinant of a matrix”.

Could anyone provide me with the graphic representation of those 2 cases for, say, a 3×3 quadratic matrix with any arbitrary number entries?

Thanks in advance.

- Eigenvalues of Symmetric Pseudo-Toeplitz Matrix
- Pseudo inverse of a product of two matrices with different rank
- Can the determinant of an integer matrix with a given row be any multiple of the gcd of that row?
- Does the given matrix have a square root?
- Matlab Recursion Loop
- A property of positive definite matrices

- A 4x4 homogeneous matrix for a 90 degree rotation about Y axis?
- Inverse of a block matrix
- Rank of the difference of matrices
- Matrix for rotation around a vector
- “weird” ring with 4 elements - how does it arise?
- Generate a semi-unitary matrix
- Minimal polynomial of $A := \left(\begin{smallmatrix} 7 & -2 & 1 \\ -2 & 10 & -2 \\ 1 & -2 & 7 \end{smallmatrix}\right)$
- Calculating the differential of the inverse of matrix exp?
- Differences between a matrix and a tensor
- If $\operatorname{rank}\left( \begin{bmatrix} A &B \\ C &D \end{bmatrix}\right)=n$ prove that $\det(AD)=\det(BC)$

- Continuously differentiable map from $\mathbb{R}^{m+n}$ to $\mathbb{R}^n$
- Product of two Gaussian PDFs is a Gaussain PDF, but Produt of two Gaussan Variables is not Gaussian
- Efficiently partition a set into all possible unique pair combinations
- Why it is absolutely mistaken to cancel out differentials?
- Closed form for $\prod_{k=0}^n\binom{n}{k}x^ky^{n-k}$.
- Prove that if $a$ and $b$ are relatively prime, then $\gcd(a+b, a-b) = 1$ or $2$
- Compute the following Galois group : $G(\mathbb{Q}(\sqrt{2}, \sqrt{2}, i) / \mathbb{Q})$.
- $U\subset [0,\infty)$ is open and unbounded $\Rightarrow \exists x$ such that $U\cap \{nx;n\in \mathbb N\}$ is infinite.
- Countable transitive model of ZFC?
- Explicit Riemann mappings
- Normal operator + only real eigenvalues implies self-adjoint operator?
- Theorems that we can prove only by contradiction
- Let $G$ be a graph of minimum degree $k>1$. Show that $G$ has a cycle of length at least $k+1$
- Show that $\mathbb{K}$ is a field
- intuition on the fundamental group of $S^1$