Which one is bigger?

Hello, I have a problem. Let C and A be such matrices

| 1 0 0 0 | | 1 1 1 1 |
C=| a 1 0 0 | , A=| 1 1 1 1 |
| a^2 a 1 0 | | 1 1 1 1 |
| a^3 a^2 a 1 | | 1 1 1 1 |


And let define Z=C*A*C' , M=C*C' and define,

SUM1=sum((i=1 to4)sum(j=1 to 4))(Zij^2)
SUM2=sum((i=1 to4)sum(j=1 to 4))(Mij^2)

(SUM1 is the sum of square of all elements of Z matrix
and
SUM2 is the sum of square of all elements of M
matrix)

It is obvious that for any a such that a>0 , SUM1>SUM2, but
what about for a<0 , which one is bigger, SUM1 or SUM2 ? Or does it
depend on the value of a? Thanks a lot?

Note : Here C and A are 4*4 matrices but i am intetrested with all n*n
matrices which have the same pattern).

.