GAUSSIAN ELIMINATION AND GAUSS JORDAN ELIMINATION I

THE MATRIX

A Matrix is a rectangular array consisting of m rows and n columns. If each entry of a matrix is a real number then the matrix is called a real matrix.

The entry a_ij, of the matrix is a number. The index i is called the Row subscript because it identifies the row in which the entry lies while the index j is called the Column subscript because it identifies the column which the entry lies.

A matrix with m rows and n columns is said to have a size of m x n. If m = n, then the Matrix is called a Square Matrix or Square of order n. For a square matrix, the entries a₁₁, a₂₂, a₃₃, … are called the Main Diagonal Entries.

A common application of matrices is to represent systems of linear equations. A matrix derived from the coefficients and constant terms is called Augmented Matrix. A matrix containing only the coefficients is called Coefficient Matrix.
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''There is no such thing as useless effort .''

                                   

~Kagami Taiga (Kuroko no Basket)