square matrix

A matrix in which the number of rows is equal to the number of columns, say n, is called a square matrix of order n. In this square matrix of order n the elements a 1 1 , a 2 2 .......a n n is called the principal diagonal or the leading diagonal. T..

Let A be a square matrix of order n. If there exists a matrix B of order n such that AB = BA = I, where I is the identity matrix of order n, then the matrix A is said to be invertible and B is called the inverse (or reciprocal) of ..

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. ..

Which of the following is a square matrix? => ( 5 - 8 3 5 9 5 ) or ( 5 8 - 9 9 ) or ( - 9 3 5 ) or ( 9 3 5 )..

Find the scalar product of - 4 and the square matrix ( 5 0 - 4 5 ) . => ( 20 0 16 20 ) or ( - 20 0 16 - 20 ) or ( - 20 0 16 20 ) or ( 20 0 16 - 20 )..

Find the scalar product of - 5 and the square matrix ( 4 0 - 6 3 ) . => ( - 5 0 5 5 ) or ( - 4 3 - 4 0 ) or ( - 20 0 30 - 15 ) or ( - 4 - 3 - 6 0 )..

A square matrix A is said to be singular if |A| = ..

A square matrix A = [a i j ] is said to be symmetric if its (i,j) t h element is the same as its (j,i) t h element. i.e a i j = a j i " i, j A square matrix A is said to be symmetric, if A = A ..

A square matrix A=[a i j ] n x n is called a diagonal matrix if all the elements, except those in the leading diagonal, are zero. i.e., a i j = 0 for all i ..

A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracket. Matrices are denoted ..