MAT 150B Midterm: MAT 150B WQ08 Exam
Document Summary
Since this is an exam, short justi cations are good enough, but try to say things that hold water. All problems are worth the same amount: how many lines through the origin are there in the f5-vector space f3. If a or a(x) is an element of r, let h(a) be the degree of the rst non-zero term of a. Is h a euclidean height for this ring: let r = m3(z) be the ring of 3 3 matrices over the integers. Does it have a zero divisor which is not nilpotent: suppose that an abelian group a has presentation matrix. This is pretty complicated, so i will give you the hint that the determinant of this matrix is.
