MATRICES

Nakakalito at times.

The image above is an exmaple of MATRIX. Wait, ano nga ba ang matrix?

- A matrix is a rectangular array in which each entry, of the matrix is a number. 

Other terms:

• Real Matrix - If each entry of a matrix is a real number, then the matrix is called a real matrix. 
• Row Subscript - it identifies the row in which the entry lies. ( index i )
• Column Subscript - it identifies the column in which the entry lies. ( index j )

A matrix with m rows and n columns ( an m x n ) is said to be of size m x n. If m = n, the matrix is called square of order n. For a square matrix, the entries a11, a22, a33, ... are called the main diagonal.

Augmented Matrix

           - the matrix derived from the coefficients and constant terms of a system of linear equations.

Coeffiecient Matrix

           - the matrix containing only the coefficients of the system.

Let's have an example:

                                                        Augmented Matrix                             Coefficient Matrix

2x - 4y + 2z = 6              2   -4   2   6                            2   -4   2

-5x + 2y - z = -3             -5   2   -1   -3                          -5   2   -1 

x             - 7z = 2            1   0   -7   2                                           1   0   -7