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In mathematical terms, a matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. It is used to represent data or to perform various operations in linear algebra, such as addition, multiplication, and finding determinants and inverses. Matrices can also represent systems of linear equations, transformations in geometry, and more. Each element in a matrix is identified by its position, typically denoted as ( a_{ij} ), where ( i ) is the row index and ( j ) is the column index.

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