Question 2 [30 pts]:
Consider the matrices
A=[[0,x],[x,y]],
B=[[z,y],[z,-7]], and
C=[[7,-1],[-1,0]], where
x,y, and
z are real numbers.
(a) [15 pts] Find, if possible, the values of
x,y, and
z such that:
A B^(T)=C.
(b) [15 pts] Find, if possible, the values of
x and
y such that:
AC=I_(2), where
I_(2)=[[1,0],[0,1]].