In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. Matrices are commonly used to represent systems of linear equations, transformations of geometric shapes, and other mathematical operations. Matrices can also be used to represent data in fields such as statistics, physics, and computer science. However, I’m…
The inverse trigonometric functions are a set of functions that allow us to find the angle or angles associated with a given trigonometric ratio (sine, cosine, tangent, etc.). They are denoted by the prefix “arc” or “inverse” and the abbreviation of the trigonometric function, for example: For example, if we want to find the angle…
Continuity is a fundamental concept in calculus that describes how a function behaves at every point in its domain. A function is said to be continuous if it has no abrupt jumps, breaks, or holes in its graph. More formally, a function f(x) is continuous at a point x=a if three conditions are met: If…
Parametric equations are a way to represent a set of equations with one or more parameters. In mathematics, they are often used to describe curves and surfaces in space. Parametric equations are usually written in the form: x = f(t) y = g(t) where t is the parameter, and f(t) and g(t) are functions that…
In probability theory, a compound event is an event that consists of two or more simple events. A simple event is an event that cannot be further broken down into smaller events. There are three types of compound events: Compound events can be used to calculate the probability of complex situations, such as the probability…
Matrices are often used to solve systems of simultaneous linear equations in two or three variables. The matrix method involves representing the coefficients of the equations and the constants as matrices, and then performing matrix operations to obtain the solution. Let’s take an example of two linear equations in two variables: 3x + 2y =…
