matrix equations

Matrix equations involve using grids of numbers (matrices) to represent and solve relationships between variables. Think of a matrix as a compact way to organize data or coefficients of equations. When we write a matrix equation like \(AX = B\), we're expressing that multiplying matrix \(A\) by \(X\) results in \(B\). Solving the equation involves finding the matrix \(X\) that satisfies this relationship. This approach simplifies handling systems of multiple equations at once, making complex computations more manageable, especially in fields like engineering, physics, and data science.