Figure $1$: Labeled Ideal Op$-$Amp for Problem $1.$

Problem $1$: Concept$-10\%$

Consider the labeled ideal op$-$amp shown in Figure $1.$ Determine if the following statements are always true, true if the op$-$amp is in negative feedback, potentially true, or never true. Justify each answer with a brief explanation.

a$)i_{+}=0$

b$)i_{+}=1A$

c$)i_{+}=i_{-}$

d$)i_o=-1A$

e$)i_o=0$

f$)v_{-}=v_{+}$

g$)v_{-}=k{v}_o,$ where $k$ is a constant $k>0.$

h$)v_o=v_{+}$

i$)v_o=0$