Any help is appreciated!
The problem is:

Part (a) - Derive the Complementary Slackness Conditions for a primal-dual of the form:

max $\displaystyle c^T$x
Ax = b
$\displaystyle x \geq 0$


min $\displaystyle y^T$b
$\displaystyle y^T$A $\displaystyle \geq c^T$

Part (b) - Prove that if the primal (P) has a non-degenerate basic optimal solution, then the dual (D) has a unique optimal solition. [HINT: The matrix B in the optimal dictionary is invertible since B is a basis.]