18.15 Mathematical methods and models in economics

Condition: a) Give an example of at least one balance table for two industries: for which the direct cost matrix has the form: \( A=\left(\begin{array}{ll}\frac{1}{6} & \frac{1}{2} \\ \frac{1}{3} & \frac{1}{2}\end{array}\right) \). b) Find the matrix \( C=A^{T} \cdot A-E \).