Math is a doing sport. Work through the PDF exams and check your work against the official solution manuals.
There are several primary sources to obtain authentic, high-quality PDFs of Prof. Strang’s notes: lecture notes for linear algebra gilbert strang pdf
Syllabus | Linear Algebra | Mathematics - MIT OpenCourseWare Math is a doing sport
This part focuses on the mechanics of solving square systems of linear equations. You'll master Gaussian elimination, the LU decomposition, and the concept of matrix inverses. Strang also explains how to analyze whether a solution exists and whether it is unique using the rank of the matrix. the LU decomposition
Strang often uses simple 2x2 or 3x3 matrices to illustrate complex ideas. Work through these examples by hand.