FACTOID # 158: 84% of people in Finland feel that they are at a low risk of experiencing a burglary - but just look at how many burglaries they have!
 
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Encyclopedia > Matrix algebra
#REDIRECTLinear algebra
Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (or linear spaces), linear transformations, and systems of linear equations. ...

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Matrix (mathematics) - Wikipedia, the free encyclopedia (1851 words)
The entry of a matrix A that lies in the i -th row and the j-th column is called the i,j entry or (i,j)-th entry of A.
The rank of a matrix A is the dimension of the image of the linear map represented by A; this is the same as the dimension of the space generated by the rows of A, and also the same as the dimension of the space generated by the columns of A.
The trace of a square matrix is the sum of its diagonal entries, which equals the sum of its n eigenvalues.
Construction of Matrix Algebras and their Elements (936 words)
Given a matrix algebra R defined as a subalgebra of M_n(S).
This function creates a n by n matrix over the finite field K of cardinality q specified in a "Cambridge" format in the general matrix algebra of degree n over K. The parameter t specifies the type of the format.
the matrix having the one of the coefficient ring of R in position (i, j) and zeros elsewhere.
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