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1.
If 
and 
are square matrices of order 3 such that 
then 
equals
and are square matrices of order 3 such that then equals
2.
The rank of the matrix 
is
is
3.
If 
is equal to
is equal to
4.
If 
is a scalar matrix of order 
such that 
for all 
then 
is a scalar matrix of order such that for all then
5.
If A 
is such that |A|=O and 
then 
is equal to
is such that |A|=O and then is equal to
6.
If 
and 
, then 
is equal to
and , then is equal to
7.
If is a matrix such that there exists a square submatrix of order 
which is non-singular and every square submatrix of order 
or more is singular, then
is a matrix such that there exists a square submatrix of order which is non-singular and every square submatrix of order or more is singular, then
8.
If 
then 
then
9.
The order of 
is
is
10.
If 
and 
then 
and then