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¡Bienvenido a Aprende Matemáticas desde cero - Álgebra Matricial!
Cómo Sacarle el Máximo Partido al Curso
Aprende con Amigos a través de Discord
Cómo Descargar Geogebra
Toma notas de tu curso en tiempo real en Frogames Formación
Sobre las clases y tareas marcadas como PRERREQUISITO
Definición de Matriz
Ejercicio - Dimensión de una Matriz
Ejercicio - Elementos de una Matriz
Ejercicio - Construyendo una Matriz a partir de la Definición de sus Elementos
Reto - Dimensión y Elementos de una Matriz
Solución del Reto
Matrices Iguales
Ejercicio - Matrices Iguales
Reto - Igualdad de Matrices
Solución del Reto
Tipos de Matrices: Fila y Columna
Tipos de Matrices: Triangulares Superior e Inferior
Tipos de Matrices: Diagonal y Escalar
Tipos de Matrices: Identidad y Nula
Tipos de Matrices: Matrices Triangulares y Nulas pueden ser Rectangulares
Ejercicio - Tipos de Matrices
Reto - Identificando los Tipos de Matrices
Solución del Reto
Suma de Matrices
Propiedades de la Suma de Matrices
Ejercicio - Suma de Matrices
Reto - Suma de Matrices
Solución del Reto
Producto de un Escalar por una Matriz
Propiedades del Producto de un Escalar por una Matriz
Ejercicio - Producto de un Escalar por una Matriz
Reto - Producto de un Escalar por una Matriz
Solución del Reto
Producto de Matrices
Propiedades del Producto de Matrices I
Propiedades del Producto de Matrices II
Ejercicio - Producto de Matrices
Ejercicio - Potencias de una Matriz
Ejercicio - Buscando una Matriz que cumpla la Propiedad Conmutativa del Producto
Ejercicio - Potencia n-ésima de una Matriz
Ejercicio - Buscando Todas las Matrices que Conmuten con A
Reto - Producto de Matrices
Solución del Reto
Matriz Inversa
Obteniendo la Matriz Inversa mediante Resolver un Sistema
Ejercicio - Matriz Inversa mediante Sistema de Ecuaciones
Reto - Cálculo de la Matriz Inversa mediante Sistema de Ecuaciones
Solución del Reto
Obteniendo la Matriz Inversa por el Método Gauss-Jordan
Ejercicio - Matriz Inversa con Método Gauss-Jordan
Reto - Cálculo de la Matriz Inversa por el Método de Gauss-Jordan
Solución del Reto
Ejercicio - Resolviendo Ecuaciones Matriciales
Ejercicio - Resolviendo una Ecuación Matricial
Matriz Transpuesta
Propiedades de la Matriz Transpuesta
Ejercicio - Matriz Transpuesta I
Ejercicio - Matriz Transpuesta II
Reto - Matriz Transpuesta
Solución del Reto
Rango de una Matriz
Rango de una Matriz en función de un Parámetro
Ejercicio - Calculando el Rango de una Matriz
Ejercicio - Rango de una Matriz en función de un Parámetro
Reto - Rango de una Matriz
Solución del Reto
Resumen de la Sección
Repaso Final - Matrices
Solución de la Tarea de Matrices
Introducción a Grafos
Multiplicando Matrices Asociadas a Grafos e Interpretando el Resultado
Ejercicio - Aeropuertos y sus Conexiones
Determinantes
Determinantes de Orden 2
Ejercicio - Determinantes de Orden 2
Ejercicio - Determinantes de Orden 2
Determinantes de Orden 3
Ejercicio - Determinantes de Orden 3
Ejercicio - Determinantes de Orden 3
Reto - Determinantes de Orden 2 y 3
Solución del Reto
Propiedades de los Determinantes I
Propiedades de los Determinantes II
Propiedades de los Determinantes III
Propiedades de los Determinantes IV
Propiedades de los Determinantes V
Propiedades de los Determinantes VI
Propiedades de los Determinantes VII
Propiedades de los Determinantes VIII
Propiedades de los Determinantes IX
Ejercicio - Propiedades de los Determinantes
Ejercicio - Propiedades de los Determinantes
Ejercicio - Propiedades de los Determinantes
Reto - Propiedades de los Determinantes
Solución del Reto
Cálculo de Determinantes por Adjuntos
Ejercicio - Cálculo de Determinantes por Adjuntos
Ejercicio - Cálculo de Determiantes por Adjuntos
Reto - Cálculo de Determinantes por Adjuntos
Solución del Reto
Cálculo de la Matriz Inversa con Determinantes
Ejercicio - Cálculo de la Matriz Inversa con Determinantes
Ejercicio - Cálculo de la Matriz Inversa con Determinantes
Reto - Cálculo de la Matriz Inversa
Solución del Reto
Rango de una Matriz
Ejercicio - Rango de una Matriz
Ejercicio - Rango de una Matriz
Reto - Rango de una Matriz
Solución del Reto
Repaso Final - Determinantes
Solución de la Tarea de Determinantes
Sistemas de Dos Ecuaciones Lineales con Dos Incógnitas
Tipos de Sistemas según el Número de Soluciones
Ejercicio - Tipos de Sistemas
Reto - Tipos de Sistemas
Solución del Reto
Expresión Matricial de un Sistema 2 x 2
Ejercicio - Expresión Matricial de un Sistema
Reto - Expresando un Sistema en su Forma Matricial
Solución del Reto
Ejercicio - Expresión Matricial de un Sistema II
Reto - Expresión de un Sistema a partir de su Forma Matricial
Solución del Reto
Sistemas Generales de Ecuaciones Lineales
Sistemas Homogéneos
Sistemas Equivalentes
Ejercicio - Comprobando si Dos Sistemas son Equivalentes
Reto - Sistemas Equivalentes
Solución del Reto
Ejercicio - Hallando el Valor de la Incógnita para que Dos Sistemas sean Equivalentes
Reto - Haciendo que Dos Sistemas sean Equivalentes
Solución del Reto
Método de Gauss
Tipos de Sistemas según el Método de Gauss
Ejercicio - Determinando y Resolviendo Sistemas por Método de Gauss
Reto - Determina y Resuelve Sistemas por Método de Gauss
Solución del Reto
Expresión Matricial de un Sistema
Resolución de Sistemas mediante la Matriz Inversa
Ejercicio - Resolviendo Sistemas mediante Matriz Inversa
Reto - Soluciones por Matriz Inversa
Solución del Reto
Teorema de Rouché-Frobenius
Método de Gauss y Expresión Matricial
Regla de Cramer
Ejercicio - Resolviendo Sistemas con la Regla de Cramer
Reto - Soluciones por Regla de Cramer
Solución del Reto
Repaso Final - Sistemas de Ecuaciones
Solución de la Tarea de Sistemas de Ecuaciones
Hemos Terminado una Aventura Juntos, ¡pero Vamos a por la Siguiente!

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5.0 /5
(26)

  • Avatar
    Yvonne
    (5)
    I like this course

    I'm trying to improve my math foundations and with the math series from scratch, it's been easy to keep up with the other courses in parallel. I hope to keep improving

  • Avatar
    Angel
    (5)
    Matrix Algebra from Scratch: master operations, structures, and applications step by step

    This course is a complete introduction to matrix algebra, ideal for those starting from zero or needing to reinforce their foundations in applied mathematics. Through visual explanations and guided exercises, you'll learn to work with matrices: from their definition and types, to fundamental operations like addition, multiplication, transposition, and inversion.

  • Avatar
    Nieves
    (5)
    Learn Mathematics from Scratch – Matrix Algebra: master matrices, determinants, and linear systems step by step

    This course teaches you the fundamentals of matrix algebra from scratch, including definition, types, operations, determinants, and solving systems of equations. You'll learn how to build matrices, identify their properties, calculate determinants using Sarrus's rule and Gauss's method, and solve linear systems with methods like Cramer's and Gauss-Jordan. You'll also explore practical applications in programming, engineering, and graphs. The approach is visual and progressive, with over 500 worked exercises and theory explained step by step.

  • Avatar
    Jose Maria
    (5)
    I found this course quite comprehensive

    I thought this course was really good for understanding how matrix systems work, it didn't feel long, and the different techniques explained are easy to understand

  • Avatar
    Jorge
    (5)
    The missing piece in my calculations

    I always skipped this topic and it was a huge mistake; understanding matrices gave me a much clearer vision of how data is organized, it's knowledge that feels fundamental for any technical field.

  • Avatar
    Nicolas
    (5)
    MATRICES!

    A really complete course with plenty of resources that are more than enough to solidify your knowledge. Totally worth it.

  • Avatar
    Javi
    (5)
    Everything clicked

    I had my head all jumbled up with so many tables and numbers piled up, but here they taught me to see it all like a puzzle where pieces fit together. They explain it in a really visual and straightforward way, which I really appreciated because it doesn't get boring at all. Now I feel way more confident to move forward with topics that before seemed impossible to me.

  • Avatar
    Santiago
    (5)
    I've lost some of my fear of math

  • Avatar
    Rocío
    (5)
    I loved it

  • Avatar
    María
    (5)
    Matrices are no longer a headache

    This linear algebra course saved me. I always struggled with matrix operations, but here they explain it step by step, with examples that really help you understand. I feel so much more confident solving this kind of problems now.

  • Avatar
    Jackeline
    (5)
    Short, practical, and complete

  • Avatar
    Rosa
    (5)
    I'd totally recommend it if you want to build solid foundations in Geometry

  • Avatar
    Gustavo
    (5)
    Matrix Algebra from Scratch: Your Clear Gateway to Calculus and Programming

    The Aprende Matemáticas desde Cero - Álgebra Matricial course is an excellent introduction to one of the most versatile pillars of modern mathematics. Designed for those starting from zero, this course manages to demystify the use of matrices and turn them into understandable, useful, and even fascinating tools.

  • Avatar
    Samuel
    (5)
    I feel more confident now and I can even contribute ideas.

    I always felt lost when matrices were mentioned, but this course gave me the confidence I needed.

  • Avatar
    lorien
    (5)
    Matrices now seem almost easy

    They explain it in a straightforward and really engaging way. The exercises are demanding but hard to forget. I felt really fulfilled with this course since I struggled through it in high school and now I think I'd get a 10

  • Avatar
    Gabriela
    (5)
    A course that's worth every minute

    I never imagined matrices could be so interesting. This course showed me how they apply to things like graphics and systems of equations. The practical exercises were great and the instructors are always ready to clear up any doubts

  • Avatar
    Carlos
    (5)
    Algebra Made Simple

    I never thought algebra could be explained so clearly. I liked the course structure, with well-explained theory and practical exercises to reinforce each topic. Ideal for students or anyone who wants to review key concepts.

  • Avatar
    Miguel
    (5)
    Matrices Within Reach

    This matrix algebra course is exceptional. Clear explanations and concise examples made complex concepts easy to understand. Highly recommended for anyone wanting to master matrix algebra!

  • Avatar
    Caty
    (5)
    I learned the fundamentals effectively.

    Fantastic learning experience. The course materials are useful and well organized.

  • Avatar
    Maria del Mar
    (5)
    Better than Derivando's!!!!!

  • Avatar
    John
    (5)
    systems of equations to the next level

    a really nice course where I enjoyed myself a lot, and I'm taking away that when I have a problem I have the tool of matrices to break it down into equations and solve it if it has a solution. A mathematical greeting.

  • Avatar
    Joiser
    (5)
    Very good instructor

    I learned a lot in this course, I feel more educated

  • Avatar
    danison
    (5)
    Algebra

    What more is there to say? The quality and professionalism in every course is top-notch, and I'm excited to finish my studies with Frogames.

  • Avatar
    BORJA
    (5)
    Excellent course!

    Great course, it met my expectations.

  • Avatar
    Yeison
    (5)
    Matrices are no longer a headache

    When I first saw matrices at university, they were a real headache for me because they were taught in a complex way. In this course, however, they explain them in a very easy way that has even helped me reinforce concepts I see in Machine Learning. Thank you so much

  • Avatar
    Giovanni
    (5)
    Algebra is no longer a puzzle

    It's an essential course if, like me, you want to understand the real foundation of programming and data analysis

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