Two matrices 
and 
are equal to each other, written 
, if they have the same dimensions 
and the same elements 
for 
, ..., 
and 
, ..., 
.
Gradshteyn and Ryzhik (2000) call an 
matrix 
"equivalent" to another 
matrix 
iff
 |
for 
and 
any suitable nonsingular 
and 
matrices, respectively.
