The Matrix Algebra Tutor covers essential skills in Matrix with a focus on improving skills needed to do well in intermediate algebra and college algebra courses.

These videos cover topics such as adding and subtracting matrices, multiplying matrices, row reduction, gauss' method, and more.

Section 3: Multiplying Matrices Together This section focuses on teaching the central topic of multiplying two matrices together. Many students find this topic difficult, but by viewing the numerous examples in this section, this topic is easily understood. . . . View the lesson

Section 4: Row Equivalent Matrices In this section, the student will learn how to manipulate the rows of a matrix to make the matrix simpler. These techniques are used throughout the remainder of the course and are very important to master. Numerous worked examples illustrate the technique. . . . View the lesson

Section 5: Gaussian Elimination and Gauss-Jordan Elimination In this section, learn how to represent a system of algebraic equations as a matrix. We learn how to manipulate the rows of the matrix according to the Gaussian and Gauss-Jordan methods in order to arrive at the solution. . . . View the lesson

Section 6: Inconsistent and Dependent Systems In this section, we learn how to identify if a system of algebraic equations is inconsistent or dependent. This information is used in order to arrive at the solution to the problem. . . . View the lesson

Section 7: The Inverse of a Matrix This section focuses on explaining the concept of the inverse of a matrix. Numerous examples are worked to show the student how to calculate a matrix inverse and what it is used for. . . . View the lesson

Section 8: Solving Systems of Equations Using Matrix Inverses We now turn our attention to the topic of using the matrix inverse in order to solve a system of equations. Numerous problems are worked that show the student how to use the inverse correctly in order to solve the system. . . . View the lesson

Section 9: Matrix Determinants In this video tutorial, the concept of a matrix determinant is introduced. The determinant is an important quantity to know how to calculate, and many examples are worked to demonstrate the procedure. . . . View the lesson

Section 10: Cramer's Rule Cramer's rule is a powerful technique that uses the matrix determinant in order to solve a system of equations. Numerous examples are worked in order to demonstrate the technique. . . . View the lesson