<s>
In	O
mathematics	O
,	O
a	O
matrix	B-Architecture
is	O
conformable	B-Algorithm
if	O
its	O
dimensions	O
are	O
suitable	O
for	O
defining	O
some	O
operation	O
(	O
e.g.	O
</s>
<s>
If	O
two	O
matrices	O
have	O
the	O
same	O
dimensions	O
(	O
number	O
of	O
rows	O
and	O
number	O
of	O
columns	O
)	O
,	O
they	O
are	O
conformable	B-Algorithm
for	O
addition	O
.	O
</s>
<s>
Multiplication	O
of	O
two	O
matrices	O
is	O
defined	O
if	O
and	O
only	O
if	O
the	O
number	O
of	O
columns	O
of	O
the	O
left	O
matrix	B-Architecture
is	O
the	O
same	O
as	O
the	O
number	O
of	O
rows	O
of	O
the	O
right	O
matrix	B-Architecture
.	O
</s>
<s>
That	O
is	O
,	O
if	O
is	O
an	O
matrix	B-Architecture
and	O
is	O
an	O
matrix	B-Architecture
,	O
then	O
needs	O
to	O
be	O
equal	O
to	O
for	O
the	O
matrix	B-Architecture
product	O
to	O
be	O
defined	O
.	O
</s>
<s>
In	O
this	O
case	O
,	O
we	O
say	O
that	O
and	O
are	O
conformable	B-Algorithm
for	O
multiplication	O
(	O
in	O
that	O
sequence	O
)	O
.	O
</s>
<s>
Since	O
squaring	O
a	O
matrix	B-Architecture
involves	O
multiplying	O
it	O
by	O
itself	O
(	O
)	O
a	O
matrix	B-Architecture
must	O
be	O
(	O
that	O
is	O
,	O
it	O
must	O
be	O
a	O
square	B-Algorithm
matrix	I-Algorithm
)	O
to	O
be	O
conformable	B-Algorithm
for	O
squaring	O
.	O
</s>
<s>
Thus	O
for	O
example	O
only	O
a	O
square	B-Algorithm
matrix	I-Algorithm
can	O
be	O
idempotent	O
.	O
</s>
<s>
Only	O
a	O
square	B-Algorithm
matrix	I-Algorithm
is	O
conformable	B-Algorithm
for	O
matrix	B-Architecture
inversion	O
.	O
</s>
<s>
However	O
,	O
the	O
Moore	O
–	O
Penrose	O
pseudoinverse	B-Algorithm
and	O
other	O
generalized	B-Algorithm
inverses	I-Algorithm
do	O
not	O
have	O
this	O
requirement	O
.	O
</s>
<s>
Only	O
a	O
square	B-Algorithm
matrix	I-Algorithm
is	O
conformable	B-Algorithm
for	O
matrix	B-Architecture
exponentiation	O
.	O
</s>
