Informally, a matrix is a rectangular array of numbers such as

Every horizontal sequence of numbers in the matrix is known as a row, and every vertical sequence of the matrix is known as a column. For example, (2.5 7 7) is a row of the third matrix above and is a column of the first matrix. Let us note that the second matrix has two rows and three columns. It is an example of 2×3 matrix. An *m × n* matrix is a rectangular array of numbers with *m* rows and *n* columns. The entry in the *i*th row and the *j*th column is denoted by ...

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