# How to define a, b, c, d, e that are integer between 1-9 so that matrix is a symmetry matrix?

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#((4, 10^4a+10^3b+10^2c+10d+e), (4(10^4e+10^3d+10^2c+10b+a), 4))#

##### 1 Answer

#### Explanation:

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,

Again, since

Thus

This means that

On the other hand we have

Among 4,5,...,9 , only

Finally, we see that

So, the numbers are