Matrices
Matrices are rectangular arrays of numbers or other mathematical objects. They are widely used in various fields, including mathematics, physics, computer science, and engineering, to represent and solve systems of linear equations, transformations, and data structures.
A matrix is typically denoted as an array enclosed in brackets, like this:
A = [a11 a12 a13]
[a21 a22 a23]
Here, 'A' is the matrix name, 'a11', 'a12', etc., are the elements of the matrix, and the subscripts represent the row and column positions of each element.
Matrices can be added, subtracted, multiplied, and manipulated in various ways to perform operations like matrix multiplication, matrix inversion, and solving linear equations. They are fundamental in linear algebra and have applications in computer graphics, statistics, and many other fields.
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