# Category Archives: Engineering Mathematics

Trace of a matrix : Let A=[aij] nxn is a square matrix of order n, then the sum of diagonal elements is called the trace… Read More
Random variable is basically a function which maps from the set of sample space to set of real numbers. The purpose is to get an… Read More
A function f from A to B is an assignment of exactly one element of B to each element of A (A and B are… Read More
Suppose that a flock of 20 pigeons flies into a set of 19 pigeonholes to roost. Because there are 20 pigeons but only 19 pigeonholes,… Read More
Suppose    be a function satisfying these conditions:   1) f(x) is continuous in the closed interval a ≤ x ≤ b 2) f(x) is… Read More
Suppose f(x) be a function satisfying three conditions: 1) f(x) is continuous in the closed interval a ≤ x ≤ b 2) f(x) is differentiable… Read More
Eigen vector of a matrix A is a vector represented by a matrix X such that when X is multiplied with matrix A, then the… Read More
We know sum squares of first n natural numbers is . How to compute sum of squares of first n even natural numbers? We need… Read More
We strongly recommend to refer below post as a pre-requisite for this. Conditional Probability Bayes’s formula Below is Bayes’s formula. The formula provides the relationship… Read More
Conditional probability P(A | B) indicates the probability of event ‘A’ happening given that event B happened. We can easily understand the above formula using… Read More
Mean is average of a given set of data. Let us consider below example  These eight data points have the mean (average) of 5:    … Read More
Union  Union of the sets A and B, denoted by A ∪ B, is the set of distinct elements that belong to set A or… Read More
LU decomposition of a matrix is the factorization of a given square matrix into two triangular matrices, one upper triangular matrix and one lower triangular… Read More
A Set is an unordered collection of objects, known as elements or members of the set. An element ‘a’ belong to a set A can… Read More
Prerequisite : Introduction to Propositional Logic Introduction Consider the following example. We need to convert the following sentence into a mathematical statement using propositional logic… Read More