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What are matrices? A matrix is simply data organized in a table. This makes it easier to organize and interpret data. More generally, we can define a matrix as follows: An m x n matrix (read m by n) is a rectangular table formed by m x n real numbers, arranged in m rows and n columns. Representation There are two ways to represent a matrix: explicitly and implicitly. These two representations can be used separately or together, depending on the context. Thus, the representations would be: Types of matrices There are many possibilities for a given type of matrix, as its size depends on the number of rows and columns. Therefore, let's learn about some of these special types of matrices. Row matrix Column matrix Square matrix Diagonal matrix Zero matrix Identity matrix Opposite matrix Transposed matrix: In practice, the transpose of A is obtained by exchanging its rows and columns in an orderly fashion. Matrix Inverse Matrix Operations Matrix Addition Matrix Subtraction Multiplication of a Real Number by a Matrix Matrix Multiplication What are Matrix Equations? Generally speaking, when we think of equations, what comes to mind is "finding the value of the unknown x." But what about an equation involving matrices? The idea is the same, but what we need to find is an unknown matrix, not just a single numerical value.

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