Jadavis says that the identity matrix is 0
0 0
sophie disagres and states that the identity matrix is 0
0 1

i. their teacher, mr. kuzy, says they are both corect and asks them to explain their thinking about matrices
to each other but to also use a similar example in the real number system. can you state each of their
arguments?
i. mr. kuzy then asks each of them to explain the geometric efect that their matrix would have on the unit
square.

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)