Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...

Algebra is part of maths where we use letters to represent unknown values or values that can change. Simplify algebraic terms Algebraic expressions can be simplified by gathering like terms. Like ...

For example, the simultaneous equations \(3a + 2b = 17\) and \(4a - b = 30\) have no common coefficient as the coefficients of \(a\) are 3 and 4, and the coefficients of \(b\) are 2 and -1. Remember ...

Linear functions are fundamental building blocks in mathematics and play a key role in solving real-world problems where the rate of change remains constant. Linear functions arise in a wide range of ...

We associate a sequence of Toeplitz matrices with the rational formal power series $T(z)$. An algorithm for solving linear equations with a Toeplitz matrix from this ...

This is a preview. Log in through your library . Abstract We develop an algorithm for solving a system of diophantine equations with lower and upper bounds on the variables. The algorithm is based on ...