The multiplication is $1A\times 1A=A2A$. Find the value of A.

[Note: Here A is a digit.]

Given: $1A\times 1A=A2A$

The above multiplication can also be written as:

On putting $A=1$, we get,

$1\times 1=1$

And, $11\times 11=121$

Therefore, $A=1$