define discrete mathematics

Question 1 - Question: From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be done? Answer: We are to select 4 students from 32. This selection can done ..

If two matrices A and B are not of same order, A + B and A - B are not defined..

A matrix is defined as a rectangular array of elements. If the arrangement has m rows and n columns, then the matrix is of order mxn (read as m by n). A matrix is enclosed by a pair of parameters such as ( ) or [ ]. It is denoted by a capital lette..

The adjoint of a square matrix [a i j ] is defined as the transpose of the matrix [A i j ] where A i j are the cofactors of the elements a i j . Adjoint of A is denoted by adj A. ..

Adjoint of a Square Matrix - The adjoint of a square matrix [a i j ] is defined as the transpose of the matrix [A i j ] where A i j are the cofactors of the elements a i j . Adjoint of A is denoted by adj ..

The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. The principle can ..

. If A =[a i j ] m x n is a matrix of order mxn. The minor of a i j of |A|, denoted by M i j , is given by the determinant which is obtained by deleting i t h row j t h column of |A|. The co-factor of the determinant of the A = [a i j ] m x n , denoted by A i j is given by A i j = (-1) i + j M i j ..

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Find the adjoint of the matrix. ..