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 ...

Solving an equation means finding the value or values for which the two expressions are equal. This means equations are not always true. In the example above, \(3x + 5 = 11\), the only correct ...

One of the most common methods used to solve equations is the balance method. Imagine an equation as a set of scales. The scales will stay in balance as long as the same operation (addition ...

A common example of a linear system — also likely familiar to math students ... As algebra students learn, there’s a set procedure for figuring it out: Write down two algebraic equations and solve ...