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 ...

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 ...

Often in algebra we have an equation that we want to solve. This frequently involves manipulating the equation in various different ways to achieve a desired outcome. Key fact The golden rule when ...

When you buy through links on our articles, Future and its syndication partners may earn a commission. Mathematicians have solved a longstanding algebra problem, providing a general solution for ...

News of a subtle quadratic equation breakthrough has brought algebra forward from the very back of many people’s minds, and algebra is always part of the “when will I ever use this?” rubric people use ...

\(\mathbf{ax^2 + bx + c = 0}\) where \(a\), \(b\) and \(c\) are numbers. Both \(b\) and/or \(c\) can be equal to zero. In this section, solving equations where \(a >1 ...