# Algebra

## 1805 Submissions

[2] **viXra:1805.0528 [pdf]**
*submitted on 2018-05-31 00:49:48*

### The Matricial Clifford Algebras

**Authors:** Antoine Balan

**Comments:** 1 page, written in french

We introduce here the notion of matricial Clifford algebras with help of the product of matrices and the tensor product.

**Category:** Algebra

[1] **viXra:1805.0355 [pdf]**
*replaced on 2019-02-16 01:58:22*

### Boundary Matrices and the Marcus-de Oliveira Determinantal Conjecture

**Authors:** Ameet Sharma

**Comments:** 10 Pages.

We present notes on the Marcus-de Oliveira conjecture. The conjecture concerns the region in the complex plane covered by the determinants of the sums of two normal matrices with prescribed eigenvalues. Call this region ∆. This paper focuses on boundary matrices of ∆. We prove 2 theorems regarding these boundary matrices.

**Category:** Algebra