Month: March 2019

Matrix Algebra: Eigenvalues and Eigenvectors

Many university STEM major programs have reduced the credit hours for a course in Matrix Algebra or have simply dropped the course from their curriculum.   The content of Matrix Algebra in many cases is taught just in time where needed.  This approach can leave a student with many conceptual holes in the required knowledge of matrix algebra. In this series of blogs, we bring to you ten topics that are of immediate and intermediate interest for Matrix Algebra. Here is the tenth topic where we talk about the eigenvalue and eigenvectors of a square matrix. Learn how to define and find eigenvalues and eigenvector of a square matrix, and get introduced to some key theorems on eigenvalues and eigenvectors.  Get all the resources in form of textbook content, lecture videos, multiple choice test, problem set, and PowerPoint presentation. Eigenvalues and Eigenvectors
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Matrix Algebra: Adequacy of Solutions

Many university STEM major programs have reduced the credit hours for a course in Matrix Algebra or have simply dropped the course from their curriculum.   The content of Matrix Algebra in many cases is taught just in time where needed.  This approach can leave a student with many conceptual holes in the required knowledge of matrix algebra. In this series of blogs, we bring to you ten topics that are of immediate and intermediate interest for Matrix Algebra. Here is the ninth topic where we talk about the adequacy of solutions of simultaneous linear equations. Learn how this adequacy is measured through the condition number of the coefficient matrix, and how the condition number is calculated approximately as well.  Get all the resources in form of textbook content, lecture videos, multiple choice test, problem set, and PowerPoint presentation. Adequacy of Solutions
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Matrix Algebra: Gauss-Seidel Method

Many university STEM major programs have reduced the credit hours for a course in Matrix Algebra or have simply dropped the course from their curriculum.   The content of Matrix Algebra in many cases is taught just in time where needed.  This approach can leave a student with many conceptual holes in the required knowledge of matrix algebra. In this series of blogs, we bring to you ten topics that are of immediate and intermediate interest for Matrix Algebra. Here is the eighth topic where we talk about solving a set of simultaneous linear equations using the Gauss-Seidel method.  Learn this iterative method of solving simultaneous linear equations, and its pitfalls and advantages. Get all the resources in form of textbook content, lecture videos, multiple choice test, problem set, and PowerPoint presentation. Gauss-Seidel Method
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