To solve a linear system of the form $A\vec x = \vec b$ we could use row reduction or, in theory, calculate $A^{-1}$ and use it to determine $\vec x$ with the equation $$\vec x = A^{-1} \vec b$$ But…Continue readingThe LU Factorization
An input–output model are used in economics to model the inter-dependencies between different sectors of an economy. Wassily Leontief (1906–1999) is credited with developing the type of analysis that we explore in this chapter. His work on this model earned…Continue readingThe Leontif Input-Output Model