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Showing posts from February, 2010

Something I'd like to talk about determinant

Abstract Determinant is a single number that includes many information about a matrix. Usually, we don't know about the property of a matrix at a glance, since it has a lot of numbers in it. But, if we know the determinant of the matrix, we could know about it in some extend. For example, determinant shows us the existence of the inverse of the matrix. Therefore, determinant of a matrix is an important concept in linear algebra and it is worth to think about it. Overview of Determinant Determinant is a single number (a scaler) that includes many information about a matrix. Since a matrix has a lot of numbers in it, it is usually hard to understand the property of a matrix at a glance. However, if we know the determinant of the matrix, we know about the matrix in some extend. For example, if I want to introduce a man, I could explain his each detail, like when he wakes up usually, which train he takes to come to work, etc.. However, this is usually too much not-so-important informa...