1 does not equal 6 mod 7.
Hi again, I think I have the correct answer to part a of this question but I I am not sure about part b, so would someone be kind enough to check my working please.
a) solve in for
b) find the number of solutions for
Working:
a)
so it is not invertible for
so I get
For : and so solution for is
For , solution is
For , solution is
b) For p=7 the matrix in not invertible so for the two linear equation one is a scalar of the other.
therefore
Thus, for each choice of , .
So there are 7 possible solutions: