How do you use matrix algebra to solve a system of linear equations and what are the practical applications of this method?

Answer 1

Dylan Perez

Matrix algebra is used to solve systems of linear equations by representing the system as a matrix equation Ax = b, where A is the coefficient matrix, x is the column vector of variables, and b is the column vector of constants. By finding the inverse of matrix A (if it exists), we can solve for x using x = A^(-1)b. Practical applications include engineering, computer graphics, economics, and optimization problems.