Linear Transformations | Brilliant Math & Science Wiki
An element of the form [a, b, c] = abc − cba in a ring is called a generalized commutator. In this article, we show that, in a matrix ring 필 n (S) (n ≥ 2) over any ring S (with identity), every matrix is a sum of a commutator and a generalized commutator. If S is an elementary divisor ring (in the sense that every square matrix over S is equivalent to a diagonal matrix), then every (PDF) Altitudes of a Tetrahedron and Traceless Quadratic Forms for reading this article is knowledge of basic linear algebra. W e shall see that the quadric surface carrying the altitudes of a general tetra- hedron appears as a level set of a traceless (trace Isometries of the spaces of self-adjoint traceless Nov 01, 2015
Linear Algebra - Joshua
Some Linear Algebra Problems SOLUTIONS
Sep 04, 2017
The Lie algebra of SU(n), denoted by (), can be identified with the set of traceless antiHermitian n×n complex matrices, with the regular commutator as Lie bracket. Particle physicists often use a different, equivalent representation: The set of traceless Hermitian n × n complex matrices with Lie bracket given by − i times the commutator.