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Category: Mathematics

Define Adjoint of a Matrix

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 A is …
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Singular and Non-Singular Matrix

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 be invertible. …
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Multiplication Theorem of Probability

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, λ2,……..,λk Simple …
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What is Probability?

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, P(φ) = …
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Matrices EAMCET Part 2 – Homogeneous Equations and Non-Homogeneous System

Matrices EAMCET Part 2 – Homogeneous Equations and Non-Homogeneous System

Go here for Matrices EAMCET Part 1 Homogeneous Equations If the system is AX=0 and |A| ≠ 0 then the system has unique solution, that is the zero solution. |A| = 0 then the system has atleast 1 non-zero solution. In-fact the system has infinite number …
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