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.