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Listar por palabra clave "Linear combination"

Mostrando ítems 1-5 de 5

Coloreando el Álgebra Lineal

Beltrán Meneu, María José; Murillo Arcila, Marina (Universitat Politècnica de València, 2016-01-21)

[EN] We present an example of how we can introduce basic concepts on Linear Algebra in a first course of an Engineering School. We use the RGB pattern color which allows us to decompose a color into three primary colors ...
Involutiveness of linear combinations of a quadratic or tripotent matrix and an arbitrary matrix

Liu, X.; Benítez López, Julio; Zhang, M. (Springer, 2016-06)

[EN] In this article, we characterize the involutiveness of the linear combination of the form a1A1 + a2A2 when a1, a2 are nonzero complex numbers, A1 is a quadratic or tripotent matrix, and A2 is arbitrary, under certain ...
On nonsingularity of combinations of two group invertible matrices and two tripotent matrices

Liu, Xiaoji; Wu, Shuxia; Benítez López, Julio (Taylor & Francis, 2011)

Let T(1) and T(2) be two n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. We mainly study the nonsingularity of combinations T = c(1)T(1) + c(2)T(2) - c(3)T(1)T(2) of two tripotent matrices T(1) and ...
On the group inverse of linear combinations of two group invertible matrices

Liu, Xiaoji; Wu, Lingling; Benítez López, Julio (ILAS–the International Linear Algebra Society, 2011-05)

[EN] In this paper, some formulas are found for the group inverse of aP | bQ, where P and Q are two nonzero group invertible complex matrices satisfying certain conditions and a, b nonzero complex numbers.
On the spectra of some combinations of two generalized quadratic matrices

Petik, Tugba; OZDEMIR, Halim; Benítez López, Julio (Elsevier, 2015-10)

[EN] Let A and B be two generalized quadratic matrices with respect to idempotent matrices P and Q, respectively, such that (A − αP)(A − βP) = 0, AP = PA = A, (B − γ Q)(B − δQ) = 0, BQ = QB = B, PQ = QP, AB = BA, and (A ...