MATRICES

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DANIEL FERNANDO RODRIGUEZ COD: 2073410 PETROLEUM ENGINEERING Bucaramanga, Julio 2010 METODOS NUMERICOS MATRICES AND DETERMINATS MATRICES AND DETERMINATS MATRICES AND DETERMINATS

Definition ,[object Object],[object Object]

[object Object]

TYPES OF MATRICES ,[object Object],[object Object]

TYPES OF MATRICES ,[object Object],[object Object]

TYPES OF MATRICES ,[object Object],[object Object]

TYPES OF MATRICES ,[object Object],[object Object]

TYPES OF MATRICES ,[object Object],[object Object],[object Object],[object Object]

BASIC OPERATIONS ,[object Object],[object Object]

BASIC OPERATIONS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

BASIC OPERATIONS ,[object Object],[object Object],[object Object]

BIBLIOGRAPHY ,[object Object],[object Object],[object Object],[object Object]

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Matrix theory" redirects here. For the physics topic, see Matrix string theory. An m × n matrix: the m rows are horizontal and the n columns are vertical. Each element of a matrix is often denoted by a variable with two subscripts. For example, a2,1 represents the element at the second row and first column of the matrix. In mathematics, a matrix (plural matrices) is a rectangular array[1] (see irregular matrix) of numbers, symbols, or expressions, arranged in rows and columns.[2][3] For example, the dimension of the matrix below is 2 × 3 (read "two by three"), because there are two rows and three columns: {\displaystyle {\begin{bmatrix}1&9&-13\\20&5&-6\end{bmatrix}}.}{\displaystyle {\begin{bmatrix}1&9&-13\\20&5&-6\end{bmatrix}}.} Provided that they have the same size (each matrix has the same number of rows and the same number of columns as the other), two matrices can be added or subtracted element by element (see conformable matrix). The rule for matrix multiplication, however, is that two matrices can be multiplied only when the number of columns in the first equals the number of rows in the second (i.e., the inner dimensions are the same, n for an (m×n)-matrix times an (n×p)-matrix, resulting in an (m×p)-matrix). There is no product the other way round, a first hint that matrix multiplication is not commutative. Any matrix can be multiplied element-wise by a scalar from its associated field.

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1. DANIEL FERNANDO RODRIGUEZ COD: 2073410 PETROLEUM ENGINEERING Bucaramanga, Julio 2010 METODOS NUMERICOS MATRICES AND DETERMINATS MATRICES AND DETERMINATS MATRICES AND DETERMINATS

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