# Mathematics Archive

## Inverse of a Matrix

Inverse of a Matrix Suppose A is a given matrix. If there exists a matrix B such that, AB = I = BI then A is said to be an invertible matrix and B is called as inverse of A and is denoted by ...Read More

## Define Adjoint of a Matrix

Adjoint of a Matrix If A is a square matrix then the transpose of a matrix obtained by replacing the elements of A by their co-factors is called the adjoint of a matrix A and is denoted by Adj A. For example, Note If ...Read More

## Singular and Non-Singular Matrix

A is a square matrix. If |A| = 0 , then A is called singular and if |A| ≠ 0 then A is called as a non-singular matrix. Theorems:- If A is a non-singular matrix then If A is non-singular then A has to ...Read More

## Multiplication Theorem of Probability

According to Multiplication Theorem of Probability, for any two events A, B probability of A∩B is as given below P(A∩B) = P(A).P(B/A) = P(B).P(A/B) Suppose N is the total number of simple events in the sample space S. Simple events in A∩B = λ1, ...Read More

## What is Probability?

If S is the sample space of a random experiment, ‘E’ is any event, then probability of E is denoted by P(E) and is defined as P(E) = (Number of Simple Events in E / Total Number of Simple Events in S.) Note that, ...Read More