Final answer:
The question involves representing a linear system in matrix form, computing the inverse of the matrix, and using the inverse to solve the system.
Step-by-step explanation:
The student is asking how to represent a linear system in the matrix form ax = b, compute the inverse of matrix a (a∑), and then use the inverse to solve for x in ax = b.
To convert a linear system into the matrix form ax = b, you would need to determine matrix a which contains the coefficients of the variables in the system, vector x which contains the variables, and vector b which contains the constants from the right side of each equation.
To compute the inverse matrix a∑, one needs to apply a mathematical procedure that involves creating an augmented matrix with the identity matrix and using row operations until the identity matrix appears on the left, with the inverse matrix appearing on the right side.
Once the inverse matrix a∑ is found, one can solve the linear system by multiplying a∑ with vector b to find vector x, which contains the solution to the system.