An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 1 unit of zinc, and 2 units of glass. Each resistor requires 3,2 , and 1 units of the three materials, and each computer chip requires 2,1 , and 2 units of these materials, respectively. How many of each product can be made with 1635 units of copper, 790 units of zinc, and 1130 units of glass? Solve this exercise by using the inverse of the coefficient matrix to solve a system of equations. The company can make transistors, resistors, and computer chips.

Step 1 ：Represent the problem as a system of linear equations as follows: \(3T + 3R + 2C = 1635\) for Copper, \(T + 2R + C = 790\) for Zinc, and \(2T + R + 2C = 1130\) for Glass. Here, T represents the number of transistors, R represents the number of resistors, and C represents the number of computer chips.

Step 2 ：Form the coefficient matrix A and the constant matrix B as follows: A = \(\begin{bmatrix} 3 & 3 & 2 \\ 1 & 2 & 1 \\ 2 & 1 & 2 \end{bmatrix}\) and B = \(\begin{bmatrix} 1635 \\ 790 \\ 1130 \end{bmatrix}\).

Step 3 ：Find the inverse of the coefficient matrix A. The inverse of A, denoted as A_inv, is \(\begin{bmatrix} 1 & -1.33333333 & -0.33333333 \\ 0 & 0.66666667 & -0.33333333 \\ -1 & 1 & 1 \end{bmatrix}\).

Step 4 ：Solve for the unknowns by multiplying the inverse of the coefficient matrix with the constant matrix. The solution, denoted as x, is \(\begin{bmatrix} 205 \\ 150 \\ 285 \end{bmatrix}\).

Step 5 ：Final Answer: The company can make \(\boxed{205}\) transistors, \(\boxed{150}\) resistors, and \(\boxed{285}\) computer chips.