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 Note:- If …

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 A is …

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 be invertible. …

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, λ2,……..,λk Simple …