The number of 
matrices A , which can be formed using the elements of the set 
such that the sum of all the diagonal elements of 
is 5 , is
Text Solution
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(312)
For a 
matrix A, the diagonal sum of 
equals the sum of squares of all 6 elements of A. We need: 
where each element is from 
.
Possible squares: 
.
Case 1:
Distribution 
(one 
, one 
, four 0 's).
Arrangements: 
.
Sign choices: 
. Total: 
.
Case 2:
Distribution 
(five 
, one 0 ).
Arrangements: 
ways to place the 0 .
Sign choices for five 
. Total: 
.
Total matrices: 
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