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

# Category Archives: Engineering Mathematics

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