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
Linear transformations are often used in computer graphics to simulate the motion of an object. They can be computed using a matrix-vector product of the form $$T(\vec x) = A\vec x$$ where $\vec x$ is a vector that represents a…Continue readingApplying Matrix Multiplication to 2D Computer Graphics
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
