Final answer:
To solve the system of linear equations using the matrix inversion method, convert the system into matrix form and calculate the inverse of the coefficient matrix, then multiply it with the constants matrix. However, only one equation is given, so there's a need for at least one more to form a system.
Step-by-step explanation:
The question involves solving a system of linear equations using the matrix inversion method. We start by expressing the given equation 4x + y = 4 in matrix form Ax = b, where A is the coefficient matrix, x is the variable matrix, and b is the constant matrix. However, there seems to be an oversight here as we only have one linear equation instead of a system. Normally, for the matrix inversion method, we need at least two equations for two variables. Assuming there is a missing equation and we have a proper system, we would proceed as follows:
- First, write the equations in the form of Ax = B, where A is the matrix of coefficients, x is the column of variables, and B is the column of constants.
- Calculate the inverse of matrix A, denoted as A-1.
- Multiply A-1 with B to find the variable matrix x, which contains the values of x and y.
If the inversion of A is not possible (for instance, if the determinant of A is zero), then the system does not have a unique solution, and the matrix inversion method cannot be used.