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A rectangular array of symbols (which could be real or complex numbers) along rows and columns is called a matrix.
Thus, a system of m × n symbols arranged in a rectangular formation along m rows and n columns and bonded by the brackets [] is called an m by n matrix (which is written as m × n matrix). Thus,
A = 63364.png is a matrix of order m × n.
In a compact form the above matrix is represented by A = [aij], 1 ≤ im, 1 ≤ jn or simply [aij]m×n. The numbers a11, a12, …, etc. of this rectangular array are called the elements of the matrix. The element aij belongs to the ith row and jth column and is called the (i, j)th element of a matrix.

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