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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
Matikkatreeni
Matikkatreeni
Perusanalyysi.
Rodion Efemov
Algorithms (task 1), 4 semester
Algorithms (task 1), 4 semester
#maths #russian #homework
Kamila
PHYS 152 Homework Template
PHYS 152 Homework Template
Homework template for students in PHYS 152 Fundamentals of Physics 2 at St. Mary's College of Maryland (SMCM).
Erin De Pree
Two Simple Proofs for Cramer's Rule
Two Simple Proofs for Cramer's Rule
Cramer's rule is usually explained by cofactor expansion of determinant. This note explains two alternative and simple proofs.
Frank the Bunny
Kursnotizen Mathematik 2
Kursnotizen Mathematik 2
Dieses Dokument enthält Notizen aus dem Kurs Mathematik 2 des Studienbefähigungslehrgangs 2014/15 der FH Joanneum Graz.
Josef Steppan
21-127 Concepts of Mathematics CMU
21-127 Concepts of Mathematics CMU
MATH 21-127: Concepts of Mathematics Template for homework submission READ THE FOLLOWING CAREFULLY!!! When you produce a PDF version of this document to turn in, change the filename to hwX-name.pdf replacing X with the homework assignment number and name with your last name.
Shaan Dave
Mathematica Applicanda New Template
Mathematica Applicanda New Template
This is the template of a regular article to Mathematica Applicanda — the Annales Societatis Mathematicae Polonae Series III published by Polish Mathematical Society.
Krzysztof J. Szajowski
Table: The mechanisms of four consensus filtering approaches
Table: The mechanisms of four consensus filtering approaches
The output of this table is used as Table 2 of the paper: Wangyan Li, Zidong Wang, Guoliang Wei, Lifeng Ma, Jun Hu, and Derui Ding, “A Survey on Multisensor Fusion and Consensus Filtering for Sensor Networks,” Discrete Dynamics in Nature and Society, vol. 2015, Article ID 683701, 12 pages, 2015. doi:https://www.hindawi.com/journals/ddns/2015/683701/cta/
Wangyan Li

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