such as a, b, c, l, m, n, a , a , ... to indicate the entries or elements of the matrices. The following are some examples of matrices (i) (ii) tan (iii) . .
Order of a Matrix If a matrix A has m number of rows and n number of columns, then the order of the matrix A is (Number of rows) ´ (Number of columns) that is, m ´ .We read m ´ as m cross n or m by n . It may be noted that m ´ is not a product of m and n . General form of a matrix A with m rows and n columns (order m ´ ) can be written in the form j j m m mj ... ...
a mn where, a ,... denote entries of the matrix. a is the element in first row, first column, a is the element in the first row, second column, and so on. Progress Check .
Find is the element in the second row and third column of the matrix . Find is the order of the matrix tan . Determine the entries denoted by a from the matrix Algebra In general, a ij is the element in the i th row and j th column and is referred as ( i,j ) th element. With this notation, we can express the matrix A as A a ij m n where i m = , ,....
and j = , ,... . The total number of entries in the matrix A a ij m n is mn .