Linear algebra is essential in mathematics, focusing on systems of equations, matrices and determinants. Systems of linear equations describe sets of equations that share variables. Solving these systems is fundamental in several fields. Matrices, rectangular arrays of numbers, are powerful tools for manipulating and solving systems of equations. Determinants, associated with square matrices, help to understand the solvability of systems and properties of linear transformations. MATLAB, a specialized programming environment, facilitates the handling of these concepts. It allows you to perform complex matrix operations, find determinants, and solve systems of equations efficiently. For example, to solve a system, you can use functions such as linsolve or the operator. The det function calculates determinants, crucial for understanding the invertibility of matrices. These tools make MATLAB an invaluable ally for exploring linear algebra, allowing users to focus on theory and application without worrying about tedious calculations.