A rational function is a function of one variable that can be represented as f(x)= p(x)/q(x). Rational functions are also called “rational polynomials”. In other words, a rational function has a numerator and a denominator with degrees of at least 1. Graphs of Rational Functions Graphs of rational functions often have strange features, like asymptotes […]

An inverse of diagonal matrix is a matrix that has the inverse of each element from the original matrix. The inverse of a diagonal matrix is obtained by replacing each element on the main diagonal with its reciprocal, as shown in the diagram below. Inverse of Diagonal Matrix Inverse of diagonal matrix can be used […]

Matrix inverses, or the inverse of a matrix, are a type of matrix multiplication that is used to solve systems of linear equations. They are similar to reciprocal fractions for solving linear equations, and they are a useful tool for students in their quest to understand how to use matrices effectively. Defining the Inverse of […]

An idempotent matrix is a square matrix that remains unchanged when multiplied by itself. This makes it a type of singular matrix, apart from the identity matrix. Idempotent Matrixes Idempotent matrices are useful for some mathematical computations, especially in the fields of linear statistical models and econometrics. They also play a role in the construction […]

Exponents are used in a lot of math formulas, so it is important to know how to distribute them. This can be a tricky task if you don’t have a good understanding of how to do it. Here are some tips for getting started: Using the Power Rule When multiplying a number with an exponent, […]