A matrix equation is a mathematical expression that involves matrices, which are rectangular arrays of numbers or symbols. In a matrix equation, one or more matrices are combined using operations such as addition, subtraction, or multiplication to find a solution. These equations are commonly used in various fields, including engineering, computer science, and economics. One of the most common forms of a matrix equation is Ax = b, where A is a matrix, x is a vector of variables, and b is a result vector. Solving this equation involves finding the vector x that satisfies the equation, which can be done using methods like Gaussian elimination or matrix inversion.