how to calculate rank of 2 by 1 matrix..?? hey guys so i am well familiar with finding out rank of square matrices but if matrix is just a row or column vector then how to determine its rank..considering the example below: a=[x1 x2 x3] where is column matrix while x1,x2,x3 are elements of this matrix..!!
Re: how to calculate rank of 2 by 1 matrix..?? Can you find the column rank (the number of independent columns)? This is the same as the rank of the matrix.
Re: how to calculate rank of 2 by 1 matrix..?? hi there infact i am quite asking about how to calculate the rank of a column or row matrix..?? and here i have just taken the example of row matrix..but i would also like to know about determining rank of a column matrix..!!
Re: how to calculate rank of 2 by 1 matrix..?? And I posted a hint. It has rank 1, if at least one entry is non-zero, and 0 otherwise. But never n, unless n=1.
Re: how to calculate rank of 2 by 1 matrix..?? ok..but here you have mentioned about column rank...but i am asking here is a different thing..i am asking about how to find the rank of column matrix or column vector i should say..!!
Re: how to calculate rank of 2 by 1 matrix..?? It is not a different thing. Can you find the column rank of a column matrix? It is easy, and the answer was already posted here. The same applies to a row matrix and the row rank.
Re: how to calculate rank of 2 by 1 matrix..?? ok so can i say that any n by 1 or 1 by n matrix has rank of 1 ..!! but what if the independent rows or row vectors and columns or column vectors have value more than 1 like i have an example as:- x1=(1,3,4,2) x2=(3,-5,2,2) x3=(2,-1,3,2) so here i have three vetors x1,x2,x3 out of which two are independent x1,x2 while x3 is dependent as x3=(x1+x2)/2; and they all form a column matrix of 3 by 1 as A=[ x1 x2 x3 ] now acc to rule n by 1 and 1 by n we have rank 1 but checking independent rows as 2 so what should be rank 1 or 2..??
Re: how to calculate rank of 2 by 1 matrix..?? 2. I don't see any reason why you would expect 1. It is a 3x4-matrix, this is neither nx1 nor 1xn.
Re: how to calculate rank of 2 by 1 matrix..?? now i am feeling stupid..!! i have been looking all along in terms of an individual vectors and not in terms of components ..!! thanks..:)