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Topic: Invertible matrix


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  Invertible matrix
Matrix inversion is the process of finding the matrix B that satisfies the prior equation for a given invertible matrix A.
A is row-equivalent to the n by n identity matrix I
In general, a square matrix over a commutative ring is invertible if and only if its determinant is a unit in that ring.
www.brainyencyclopedia.com /encyclopedia/i/in/invertible_matrix.html   (1072 words)

  
 Basis (linear algebra) - Wikipedia, the free encyclopedia
When we want to describe the matrix of a linear transformation and in some other situations, it is convenient to list the basis vectors in a specific order.
We then speak of an ordered basis, which we define to be a sequence (rather than a set) of linearly independent vectors that span V.
Since the above matrix has a nonzero determinant, its columns form a basis of R
en.wikipedia.org /wiki/Basis_(linear_algebra)   (1459 words)

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