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Si \(AB=I\) entonces \(A\) es invertible y \(A^{-1}=B\)
Si \(AB=I\) entonces \(A\) es invertible y \(A^{-1}=B\)
Vamos a demostrar el notable teorema que dice que, dadas dos matrices cuadradras \(A\) y \(B\) del mismo tamaño, si \(AB=I\), donde \(I\) es la matriz identidad del mismo tamaño que la matrices \(A\) y \(B\), entonces \(A\) es invertible y \(B^{-1}=A\). La prueba será directa y sólo usaremos el hecho de que si \(|A|\ne0\) entonces \(A\) es invertible. La pregunta es si puedes tú, estimado estudiante, ofrecer otra prueba de la que aquí se sugiere. Sirva además este texto como un ejemplo de escritura con LaTeX.
Memo Garro
Stagetex - olimpiadi della matematica
Stagetex - olimpiadi della matematica
Modello di documento latex per la scrittura di soluzioni dei problemi (per la partecipazione agli stage delle olimpiadi di matematica).
Federico Poloni
Easy PSET Template
Easy PSET Template
Easy PSET template for various subjects
Cameron Cruz
V-Formation as Optimal Control
V-Formation as Optimal Control
We present a new formulation of the V-formation problem for migrating birds in terms of model predictive control (MPC).
Junxing
Quadratische Gleichungen
Quadratische Gleichungen
50 quadratische Gleichungen werden automatisch erzeugt. So geht's: Wenn rechts die Vorschau erscheint, oben PDF anklicken. 50 quadratic equations will be created automatically. Please wait until you see the preview. Then click on PDF to save the file.
pronkow
Principio de identidad y del Argumento
Principio de identidad y del Argumento
Esta presentación algunas definiciones y resultados del análisis complejo; todas ellas presentadas con el fin de dar una prueba completa del principio de identidad y del principio del argumento. Referencias de la presentación: Basic Complex ANalysis, 3rd Ed. Jerrold E. Marsden, Michael J. Hoffman.
Diego Alejandro
Bi8773 DU
Bi8773 DU
Template for homework assigment for Bi8773 at Masaryk University
Mojmír Vinkler
Geometry Midterm
Geometry Midterm
This is a template for students in MATH 3000 at FSU to use for the final draft of their midterm exam.
Sarah Wright
The Parallelization and Optimization of the N-Body Problem using OpenMP and Cuda
The Parallelization and Optimization of the N-Body Problem using OpenMP and Cuda
This research paper aims at exploiting efficient ways of implementing the N-Body problem. The N-Body problem, in the field of physics, predicts the movements and planets and their gravitational interactions. In this paper, the efficient execution of heavy computational work through usage of different cores in CPU and GPU is looked into; achieved by integrating the OpenMP parallelization API and the Nvidia CUDA into the code. The paper also aims at performance analysis of various algorithms used to solve the same problem. This research not only aids as an alternative to complex simulations but also for bigger data that requires work distribution and computationally expensive procedures.
Tushaar Gangarapu

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