Embedded Files
Linear Equations in Linear Algebra
Linear Equations in Linear Algebra
SME Materials
Linear Equations in Linear Algebra | Adrienne Kosca
Topics included in this reviewer notes:
Linear Equations
Matrix Notation
Elementary Row Operations
Existence and Uniqueness of a System of Equations
Row Reduction, Echelon Forms and Pivot Positions
Row Reduction Algorithm
[Notes] Linear Equations in Linear Algebra.pdfArticles
Articles
Introduction to Matrices - Lumen Learning
This article contains a general introduction to matrices, including its definition, how to perform simple operations and its properties. There are several examples with solutions within the article as well.
Online Tutorial Videos
Online Tutorial Videos
Elementary Row Operations Matrices 3x3 Linear System, Mario’s Math Tutoring.
This video contains an example of how to solve a linear system using matrices and elementary row operations. An in-depth discussion of the proper procedures to solve the 3x3 matrix is included as well.
Row Reduction, Row-Echelon Forms and Reduced Row-Echelon Form, Lorenzo Sadun.
This video contains an in-depth discussion of the row-echelon form, reduced row-echelon form, and the process of row reduction. An example of an application of these is also supplemented using a 4x4 matrix.
Matrix Algebra
Matrix Algebra
SME Materials
Matrix Algebra | Adrienne Kosca
Topics included in this reviewer notes:
Review on Matrices
Matrix Addition
Matrix Subtraction
Scalar Multiples
Matrix Multiplication
The Transpose of a Matrix
Vectors
[Notes] Matrix Algebra.pdfReferences
References
Lumen Learning. (n.d.). Introduction to matrices | Boundless algebra. Lumen Learning – Simple Book Production. Retrieved March 17, 2021, from https://courses.lumenlearning.com/boundless-algebra/chapter/introduction-to-matrices/
Mario's Math Tutoring. (2019, April 18). Elementary Row Operations Matrices 3x3 Linear System [Video]. YouTube. https://www.youtube.com/watch?v=XYKe3-3gtkY
Sadun, L. (2013, July 31). Row reduction, row-echelon form and reduced row-echelon form [Video]. YouTube. https://www.youtube.com/watch?v=l69YjkuUym0
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