98CHAPTER 6.QUIZZES AND MIDTERMSwithy(0) = 0.dydx=x(y+ 1)Z1y+ 1dy=x22+Cln(y+ 1)=x22+Cy=Cex2/2-10=C-1y=ex2/2-184.108.40.206Quiz 51. LetA=135011204, ~u=011,~v=-2-11(a) FindA~u.135011204011=824(b) FindA~v.A=135011204-2-11=000(c) DoesAhave an inverse? Why or why not? If it does, you don’thave to find it.No. In part (b), we saw thatA~v=~0 with~v6=~0. SinceA~0 =~0, weknow thatAis not 1-1 and hence not invertible. In other words, ifAhad an inverseA-1, thenA-1~0 would not be defined, soA-1does notexist. Another way to arrive a this conclusion was to try to find theinverse and find that you get a row of all zeros and hence can’t finishthe process.