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MATRICES

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 MATRICES  -  A matrix is an ordered rectangular array of numbers or functions. The numbers or functions are called the elements or the entries of matrix.  An m x n matrix is an  arrangement of mn objects (nit necessarily distinct) in m rows and n columns in the form   In this case we can say, a matrix of order m x n or we can say m by n.Order of matrix is nothing it is m x n matrix for example 2 x 4 matrix. The objects a 11 ,a 12 ,a 13   and so on ....... a mn are called the elements of the matrix . Each element of the matrix can be real or complex number or a function of one or more variables or any other object.The element  [a ij ] which is common its called its general element. If all the elements of matrix are real then it is called real matrix. If all the elements of matrix are complex then it is called complex matrix. The matrix are usually denoted by bold face upper face letters A,B,C,.... so on we can siply write a matrix as  A= [a ij ] m x n TYPES OF MATRICES (i) Column matri