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 ...

Some important points to revise from the chapter are: • An equation of the form ax + by + c = 0, where a, b and c are real numbers, such that a and b are not both zero, is called a linear equation in ...

My bookshelves are lined with materials that support my work in data science and machine learning. I have a large section of mathematics books including several on the subject of linear algebra. For ...

Check NCERT Class 10 Maths Chapter 3: Pair of Linear Equations in Two Variables. This is the latest edition of the NCERT Book for the 2021-2022 academic year. Students must read the NCERT majorly to ...

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 ...

What if we have an equation such as \({p}\) + 3 = 11? This time, in order to get \({p}\) on its own we would need to subtract 3 from both sides of the equation. This would leave us with \({p}\) = 8.

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 ...