Let A be 10x10 invertible matrix with real entries s.t sum of each row is 1. Then which of follwing is true:
- Sum of entries of each row of inverse of A is 1.
- Sum if entriez of each column of inverse of A is 1.
- Trace of inverse of A is non zero.
I tried by assuming A to be 10x10 indentity matrix. But if we take this, then all options 1,2,3 are true. But answer in only 1.what other way is there?