Linear Algebra II: Matrix Algebra

Course Overview

What skills and knowledge will you acquire during this course?
The skills and knowledge that will be acquired during this course include the ability to apply concepts from the previous course in algebraic operations with matrices. Students will learn how to use the Invertible Matrix Theorem to solve linear equations using square matrices. This theorem plays a fundamental role in linear algebra and synthesizes many concepts from the first course. Additionally, students will explore theorems and algorithms that involve multiple matrices, such as partitioned matrices and matrix factorizations.

How does this course contribute to professional growth?
The course "Linear Algebra II: Matrix Algebra" contributes to professional growth by enhancing the ability to apply concepts introduced in the previous course. It provides a deeper understanding of algebraic operations with matrices and how they can be used to solve linear equations. The Invertible Matrix Theorem, a fundamental concept in linear algebra, is explored and applied. The course also covers theorems and algorithms that involve multiple matrices, such as partitioned matrices and matrix factorizations, which are commonly used in various professional fields. Additionally, the course explores the applications of matrix algebra in economics and computer graphics. It is recommended for students to have completed the first course in the series, linear equations, before taking this course.

Is this course suitable for preparing further education?
This course may be suitable for preparing further education as it builds upon the concepts introduced in the previous course and enhances the ability to apply algebraic operations with matrices. The course covers the Invertible Matrix Theorem, which is fundamental in linear algebra and synthesizes many concepts from the first course. Additionally, the course explores theorems and algorithms related to multiple matrices, partitioned matrices, and matrix factorizations, which are commonly used in modern applications of linear algebra. The course also includes applications of matrix algebra to economics and computer graphics. It is recommended for students to complete the first course in the series, linear equations, before taking this class.