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CALIFORNIA INSTITUTE OF TECHNOLOGY
Department of Mathematics
Math 1b, Analytical; Homework Set 4
Due: 10am, Monday, January 30, 2012
Read sections 17 and 18 from Chapter 2 of Apostol. That is read pages 58 through
65.
1. Let V = V2 be the
CALIFORNIA INSTITUTE OF TECHNOLOGY
Department of Mathematics
Math 1b, Analytical; Homework Set 6
Due: Noon, Tuesday, February 21, 2012
Read Chapter 4 in the text and read the notes on eigenvalues and eigenvectors on the
course web page.
1. Problem 14 on p
CALIFORNIA INSTITUTE OF TECHNOLOGY
Department of Mathematics
Math 1b, Analytical; Homework Set 2
Due: Noon, Tuesday January 17, 2012
Read sections 1 through 5 and 9 through 16 of Chapter 2. Skip sections 6 and 7
of Chapter 2 as the discussion of inverses
CALIFORNIA INSTITUTE OF TECHNOLOGY
Department of Mathematics
Math 1b, Analytical; Homework Set 8
Due: 10am, Monday, March 5, 2012
1. Problem 14 on page 126 of the text.
2. Prove that for each 2 by 2 matrix A over C, exactly one of the following holds:
(1)
CALIFORNIA INSTITUTE OF TECHNOLOGY
Department of Mathematics
Math 1b, Analytical; Homework Set 7
Due: 10am, Monday, February 27, 2012
Read sections 11-16 in Chapter 1, and sections 1-10 and 19 in Chapter 5 in the text.
Sections 12-18 in Chapter 5 are opti
CALIFORNIA INSTITUTE OF TECHNOLOGY
Department of Mathematics
Math 1b, Analytical; Homework Set 5
Due: 10am, Monday, February 13, 2012
Read Chapter 3 in the text and read the notes on determinants on the course web
page.
1. Problem 3 on page 80 of the text
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CALIFORNIA INSTITUTE OF TECHNOLOGY
Department of Mathematics
Math 1b, Analytical; Homework Set 3
Due: 10am, Monday, January 23, 2012
1. Problem 26 on page 43 of Apostol. In part (b) prove that T and S are 1-1
correspondences (rather than
CALIFORNIA INSTITUTE OF TECHNOLOGY
Department of Mathematics
Math 1b, Analytical; Homework Set 1
Due: 10am, Monday, January 9, 2012
Read the rst 9 sections of Chapter 1 of Apostol. That is read pages 3 through 13.
You can collaborate on the problems as lo