322first99 - ) = ( ac, ad ). Do these operations turn Q ×...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 322 First Midterm Examination Name: April 8, 1999 Signature : 9:00–10:30 (1) Is 3 x 6 - 4 x + 6 irreducible in Z [ x ]? (10 points)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
(2) Does there exist a polynomial f in Z [ x ] such that f (0) = 1 , f (1) = 2, f (2) = 3, f (3) = - 2 ? (20 points)
Background image of page 2
Name : Surname : (3) For ( a, b ), ( c, d ) Q × Q and a Q , we put ( a, b ) + ( c, d ) = ( a + c, 0) and a · ( c, d
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ) = ( ac, ad ). Do these operations turn Q × Q into a vector space over Q ? (20 points) (4) Find a feld K and a vector space V over K such that V has exactly 4 elements. (20 points) Name : Surname : (5) Why is the notion of dimension important? (30 points)...
View Full Document

Page1 / 5

322first99 - ) = ( ac, ad ). Do these operations turn Q ×...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online