Which matrix operation is used to solve a system of linear equations? a. Addition b. Subtraction c. Multiplication d. Inversion

The matrix operation used to solve a system of linear equations is d. Inversion.

Here's a step-by-step explanation:

1. Convert the system of linear equations into a matrix form, Ax = b, where A is the matrix of coefficients, x is the column vector of variables, and b is the column vector of solutions.

2. Calculate the inverse of matrix A, denoted as A^-1. This is possible only if A is a square matrix and its determinant is not zero.

3. Multiply the inverse of matrix A with the solution vector b to get the variable vector x, i.e., x = A^-1 * b. This gives the solution to the system of linear equations.

Please note that not all systems of linear equations have a unique solution or any solution at all. The existence and uniqueness of the solution depend on the properties of matrix A.