Dive into a comprehensive 90-minute tutorial on matrix algebra, covering essential concepts from basic calculations to advanced techniques. Begin with an introduction to matrix math and progress through topics such as matrix addition, subtraction, scalar multiplication, and matrix multiplication. Explore row equivalent matrices, Gauss and Gauss-Jordan elimination methods, and learn to identify inconsistent and dependent systems. Master the process of finding matrix inverses and apply them to solve systems of equations. Conclude with an understanding of matrix determinants and the practical application of Cramer's Rule in solving linear systems.
Overview
Syllabus
1 - Intro To Matrix Math (Matrix Algebra Tutor) - Learn how to Calculate with Matrices.
Lesson 2 - Adding And Subtracting Matrices And Multiplying By A Scalar.
Lesson 3 - Multiplying Matrices (Matrix Algebra Tutor).
Lesson 4 - Row Equivalent Matrices (Matrix Algebra Tutor).
Lesson 5 - Gauss Elimination And Gauss-Jordan Elimination (Matrix Algebra Tutor).
Lesson 6 - Inconsistent And Dependent Systems (Matrix Algebra Tutor).
Lesson 7 - The Inverse Of A Matrix (Matrix Algebra Tutor).
Lesson 8 - Solving Systems Using Inverses (Matrix Algebra Tutor).
Lesson 9 - Determinant of a Matrix (Matrix Algebra Tutor).
Lesson 10 - Cramer's Rule (Matrix Algebra Tutor).
Taught by
mathandscience
