Matrix Algebra Explained

Master Matrix Algebra Using Step by Step Lessons and Prepare yourself for Linear Algebra! Over 400 Practice Questions

Matrix Algebra Explained
Matrix Algebra Explained

Matrix Algebra Explained free download

Master Matrix Algebra Using Step by Step Lessons and Prepare yourself for Linear Algebra! Over 400 Practice Questions

In this course, you will master the basics of matrices in algebra. While this is not a linear algebra course, it will serve to get you up to speed with most of the entry level topics taught in a linear algebra course. In this course, you will learn the following:

  • How to Solve Linear Systems Using Gaussian Elimination

  • How to Solve Linear Systems Using Gauss-Jordan Elimination

  • How to Place an Augmented Matrix in Row Echelon Form

  • How to Place an Augmented Matrix in Reduced Row Echelon Form

  • How to Add Matrices

  • How to Subtract Matrices

  • How to Multiply a Matrix by a Scalar

  • How to Multiply Matrices

  • How to Find the Inverse of a Matrix using Row Reduction

  • How to Solve Linear Systems using Matrix Equations (Using the Inverse of a Matrix)

  • How to Find the Determinant of a Matrix Using Laplace Expansion

  • How to Find the Determinant of a 3 x 3 Matrix Using the Shortcut

  • How to Find the Determinant of a Matrix in Upper Triangular Form 4 x 4 Shortcut

  • How to Find the Transpose of a Matrix

  • How to Find the Classical Adjoint (Adjugate of a Matrix)

  • How to Find the Inverse of a Matrix Using the Determinant and the Adjoint (Adjugate)

  • How to Solve a 2 x 2 Linear System Using Cramer's Rule

  • How to Solve a 3 x 3 Linear System Using Cramer's Rule

  • Applications of Determinants - Finding the Area of a Triangle

  • Applications of Determinants - Testing for Collinearity

  • Applications of Determinants - Finding the Equation of a Line Using Determinants