
The rank of the matrix A is the largest of the orders of its minors that are not equal to zero.
Denotes the rank of the matrix: r (A) or rang (A).
Methods for finding the rank of the matrix
Elementary transformation method for finding the rank of a matrix
The method of elementary transformations for finding the rank of a matrix is that matrix A is led to a stepwise form using elementary transformations; the number of nonzero rows of the obtained step matrix is the desired rank of the matrix A.
The method of bordering minors for finding the rank of the matrix A is as follows. It is necessary:
As elementary algebra help service says: find some firstorder minor M1 (i.e. matrix element) that is nonzero. If there is no such minor, then the matrix A is zero and r (A) = 0.
Calculate 2nd order minors containing M1 (bordering M1) until there is a nonzero minor M2. If there is no such minor, then r (A) = 1, if there is, then r (A) ≥ 2. and so on.
Calculate (if they exist) the minors of the ko order, surrounding the minor of Mk1> 0. If there are no such minors, or they are all equal to zero, then r (A) = k1; if at least one such minor Mk> 0, then r (A) = k, and the process continues.

Elementary algebra
My father always wanted me to become an economist, but all this time I wasn`t really into that, despite I got Bachelor`s degree in Economics I always felt that I`m in love with writing. I started my hobby when I was in school and kept it up despite all difficulties during my student life. Once I was done with studying I got a job in an ambitous essay project. And now I`m a writer with more than 10 years experience, and my hobby became my job.
In my free time I enjoy drone shooting, travelling and arts. My next dream is to create a film about China`s most popular destinations because I was fascinated when I came there for the first time. Also I`m planning to travel all over the country next year.
Likes:  0 
Views:  27 
comments powered by Disqus