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
zare real numbers. (a) [15 pts] Find, if possible, the values of
x,y, and
zsuch that:
A B^(T)=C. (b) [15 pts] Find, if possible, the values of
xand
ysuch that:
AC=I_(2), where
I_(2)=[[1,0],[0,1]].