What are some examples of equivalent matrices?
1 Answer
Feb 28, 2015
The 4x4 matrix :
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
and this one
1 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
are equivalent, because they are both of rank 1.
Actually : two nxp matrices A and B are equivalents iff rank(A) = rank(B).
NB. rank(A) is the dimension of space engendered by the columns of A.
