Found 468 Articles for Mathematics

Introduction A diagonal matrix is a matrix in which the entries outside the main diagonal are all zero. Matrices are used in practical life events like military parades, school parades, and planting. The concept of matrix and determinant is recorded as having appeared in the fourth century B.C, although its use is thought to have begun only in the second century BC. Then, towards the end of the seventeenth century, the concept of matrix and determinants came back into use. Mathematical models of everyday world problems are formed as sets of linear equations. Matrices are essential and inevitable to solve ... Read More

Introduction A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is an 8 vertices, 12 edges, and 6 rectangular faces convex polyhedron. A cuboid is also known as a rectangular prism. An example of a cuboid in the real world is a rectangular box. What is cuboid? Imagine a shape that results from stacking numerous congruent rectangles on top of one another. The resultant shape is known as a cuboid. Dimensions of a Cuboid In order to describe the length, width (breadth), or height of an edge of a cuboid shape, it should be ... Read More

Introduction A cone has a curved surface at the bottom; therefore, it contains two surface areas that are total surface area is the total surface area covered by the cone, whereas the curved surface the area consists of the surface area covered by the curved surface, which is the surface area other than the bottom circular flat surface. A cone has a vertex or an apex and a slant height. In this tutorial, we will discuss cones, slant height, curved surface area, total surface area, and a few solved examples. Cones Cones are three-dimensional figures with a circular surface at ... Read More

Introduction Completing the square is an algebraic technique for writing a quadratic expression that contains the perfect square . The Quadratic Formula is the most basic method for determining the roots of a quadratic equation. Certain quadratic equations cannot be easily factorised, and in these cases, we can use this quadratic formula to find the roots as quickly as possible. The roots of the quadratic equation also aid in determining the sum and product of the roots of the quadratic equation. The quadratic formula's two roots are presented as a single expression. The positive and negative signs can be used ... Read More

Introduction A chord is a line segment connecting any two points located on the circumference of the circle . The circle is a well-known two-dimensional shape used in Euclidean geometry. It has various components, including chord, radius, diameter, etc. In this tutorial, we will discuss the definition, formulae, and some theorems related to the chord of a circle. Circles The circle is a two-dimensional figure drawn on a plane in such a way that each point on the circle is equidistant to a fixed point. The fixed point is known as the center of the circle. The dimension of ... Read More

Introduction The area of a hemisphere is of two types: The curved surface area of a hemisphere = 2𝜋r2 square units. The total surface area of a hemisphere = 3𝜋r2square units. Two-dimensional geometry is concerned with the x-y plane in mathematics. Three-dimensional geometry is an extension of two-dimensional geometry that deals with three axes in the Cartesian plane, namely x, y, and z. 3D shapes have three dimensions: length, breadth, and height. In most cases, three-dimensional objects are created by rotating two-dimensional objects. Our planet's spherical shape is one of the best examples of 3D shapes. The sphere is formed ... Read More

Introduction The isosceles triangle area is the amount of surface or space enclosed between the isosceles triangle's sides. The quantity of space encircled by an isosceles triangle in a two-dimensional space is known as its area. Half of the product of the triangle's base and height is the usual formula for calculating its area. Here, to help you better comprehend this subject, a thorough explanation of the isosceles triangle area, its formula, and derivation is provided along with a few solved example problems. Isosceles triangle is one of the types of the triangle based on lengths of the sides. ... Read More

Introduction Area of an ellipse is the area or region covered by the ellipse in two dimensions. An ellipse appears to be a regular oval shape, formed when a cone is snipped off by an oblique plane in such a way that a closed curve that does not bisect the base is produced. An ellipse is the locus of all the points in a plane whose distances from two fixed points in the plane are constant. The fixed points, which are surrounded by the curve, are known as foci (singular focus). The constant ratio is the eccentricity of the ellipse ... Read More

Introduction Branches of mathematics are Algebra, geometry, arithmetic, number theory, etc. Over time, the scope of mathematics has expanded. There are two types of mathematics: pure mathematics and applied mathematics. The mathematics that can be used to solve real- world problems is known as applied mathematics. Mathematics has evolved over time into a vast and diverse subject. Mathematical advancements continue to make significant contributions. Algebra, Geometry, Arithmetic, Trigonometry, Calculus, and other branches of mathematics exist. In this tutorial, we will discuss branches of mathematics. Mathematics Maths is the science of quantity, pattern, order, structure, and relation, which has evolved over ... Read More

Introduction A bijective function is a one-one and onto function. In this tutorial, we will learn about functions, and their properties, such as injectivity and surjectivity. We will also learn about bijective functions and the invertibility of a function. A function is defined as a mapping between two sets, the first set is called the domain, and the second set is called the co-domain if the elements of the domain have a unique image in the codomain. A function is said to be injective or one-one if all the elements of the domain are mapped to a unique element in ... Read More