Nakakalito at times
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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