Question
Rank of matrix
Answer :
Word Count : 250
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In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This is the same as the dimension of the space spanned by its rows. It is a measure of the "non degenerateness" of the system of linear equations and linear transformation encoded by A. There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics.
The rank is commonly denoted rank(A) or rk(A); sometimes the parentheses are not written, as
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