How to define a, b, c, d, e that are integer between 1-9 so that matrix is a symmetry matrix?
#((4, 10^4a+10^3b+10^2c+10d+e), (4(10^4e+10^3d+10^2c+10b+a), 4))#
The question essentially is the same as the old puzzle - "Find a five digit number which gets reversed when it is multiplied by 4"
Since there is no carry to the sixth place when "edcba" is multiplied by 4,
This means that
On the other hand we have
Among 4,5,...,9 , only
Finally, we see that
So, the numbers are