Question

help!-matrix size is 3x3
clues for the encoding matrix:
1. all entries are one digit and positive
2. a11, a12, a13 are all equal and prime, their sum is also prime
3.the sum of a11, a12, a13 is equal to a21
4. the sum of a22 and the opposite of a33 is zero. a22 is prime and less than 7, greater than 3
5. a12 plus a22 equals a32
6. a21 minus a31 equals zero
7. a23 equals the sum of row 3 minus the sum of column 3

Answer 1

2. 1, 1, 1 sum = 3, no other sum is prime
3. 3
4. only prime between 3 and 7 is 5 so a22 is 5 so a33 is 5 since 5 -5 = 0
5. a12 + 5 = a32. If a12 = 1 then a32 = 6
6. a21=a31 = 3
7. a23 = 3 + 6 + 5 - 1 - 5 - a23
or 2 a23 = 8
so a23 = 4
so try

1 , 1 , 1
3 , 5 , 4
3 , 6 , 5

Answer 2

thanks