Matrices - Adding & Multiplying - Gaussian Elimination & Cramer's Rule - 3x3 Matrix

This precalculus video tutorial provides a basic introduction into matrices. It explains how to add, subtract, and multiply two matrices together. It also explains how to use matrices to solve a system of linear equations using the gaussian elimination, the gauss jordan elimination, and cramer's rule using determinants. In addition, it also explains how to find the inverse of a 2x2 matrix as well as the inverse of 3x3 matrix.

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0:00 - Introduction to Matrices - Rows and Columns - Order of Matrix
7:38 - Adding Matrices
9:35 - Scalar Multiplication of Matrices
10:11 - Subtracting Matrices
10:50 - Math Operations with Matrices
13:30 - Finding The Missing Matrix In an Equation
19:35 - Multiplying Matrices
36:53 - Using Cramer's Rule To Solve A Linear System of Equations With 2 Variables
38:00 - Determinant of a 2x2 Matrix
47:07 - Cramer's Rule for Solving Linear Equations With 3 Variables
48:44 - Determinant of a 3x3 Matrix
1:01:45 - Using The Gaussian Elimination & Row Echelon Form
1:20:03 - Gaussian Elimination With 4 Variables Using Elementary Row Operations
1:37:46 - Gauss Jordan Elimination & Reduced Row Echelon Form
1:48:15 - Inverse of a 2x2 Matrix
1:58:04 - Inverse of a 3x3 Matrix

Видео Matrices - Adding & Multiplying - Gaussian Elimination & Cramer's Rule - 3x3 Matrix канала The Organic Chemistry Tutor