If the columns/rows of an nXn matrix A are linearly independent, what is the rank(A)?
If the columns of an nXn matrix A are linearly independent as vectors, what is the rank of A?
If the rows of an nXn matrix A are linearly independent as vectors, what is the rank of A?
Re: If the columns/rows of an nXn matrix A are linearly independent, what is the rank
Originally Posted by thealpz
If the columns of an nXn matrix A are linearly independent as vectors, what is the rank of A?
If the rows of an nXn matrix A are linearly independent as vectors, what is the rank of A?
The Rank of A and A transpose are the same. By defintion, the rank of a matrix is the number of linearly independant column vectors. So it would have Rank n