Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

Computer scientists have devised an innovative and elegantly concise algorithm that can efficiently solve systems of linear equations that are critical to such important computer applications as image ...

A new Google Lens feature is on the way that helps students learn math and STEM-related topics. To use the new “Homework” search mode, all you have to do is scan the equation you need help solving. It ...

Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...

Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...

I just read a very insightful NY Times article entitled The Wrong Way to Teach Math by Andrew Hacker, a Professor Emeritus at Queens College in NY. Hacker teaches political science and mathematics and ...

This equation is in the standard form of a linear equation: A x + B y = C, where A, B, and C are constants. The variable x is raised to the power of 1. The variable y is raised to the power of 1. The ...