Teaching

MAT 342: Linear Algebra

Fall 2019

Class Time M,W,F 2:00pm – 2:50pm
Class Location Tempe – WXLRA 107
Instructor Sébastien Motsch
Office WXLRA 836
Email smotsch@asu[dot]edu
Office Hours M,W 11:00 – 12:00pm
Class webpage www.seb-motsch.com/teaching

Textbook

  • Steven J. Leon, Linear algebra with applications (8th or 9th edition)
  • (Supplementary) Gilbert Strang, Introduction to linear algebra (5th edition)

Course description

  1. Vector spaces: linear systems, determinant, dimension (Chap. 1-3)
  2. Linear transformations: matrix representation, orthogonality (Chap. 4-5)
  3. Matrix decomposition: eigenvalues, diagonalization, SVD (Chap. 6)

The grading scale is:

  • weekly homework (25%)
  • three mid-terms (45%)
  • one final (30%)


The first exam will be held on Monday (09/23) in class. The second exam will be on Monday (10/21). The third exam will be on Monday (11/25).

Class Schedule

Aug 23 – 30 Linear systems, Matrix (chap. 1.1-1.3)
Sep 2 – 6 Matrix manipulation (chap. 1.4-1.5)
Sep 9 – 11 Determinant (chap. 2.1-2.3)
Sep 13 – 18 Vector spaces (chap. 3.1-3.3)
Sep 20 – 23 Revision + Exam 1
Sep 25 – 30 Linear independence, Basis (chap. 3.3-3.6)
Oct 3 – 7 Linear transformations (chap. 4.1-4.3)
Oct 9 – 16 Orthogonality (chap. 5.1-5.2)
Oct 18 – 21 Revision + Exam 2
Oct 25 –¬† Nov 1 Least square problems (chap. 5.2-5.3)
Nov 4 – 8 Gram-Schmidt orthogonalization (chap. 5.4-5.6)
Nov 11 – 15 Eigenvalues/eigenvectors (chap. 6.1-6.2)
Nov 18 – 20 Differential equations, diagonalization (chap. 6.2-6.3)
Nov 22 – 25 Review + Exam 3

Class homework

Aug 30 chap 1.1: 1 bc, 4 abc, 6 efg, 7, 8, 10 (solution)
Sep 6 chap 1.2: 6, 9, 15, chap 1.3: 2, 9, 11, 13 (solution)
Sep 13 chap 1.4: 1, 3, 7, 9, 16 chap 1.5: 7, 8 (b,d) (solution)
Sep 20 chap 2.3: 1, 6, chap 3.1: 13, chap 3.2: 2, 4, 10, 13 (solution)
Oct 4 chap 3.3: 2, 6, 16, chap 3.4: 3, 8, 10, chap 3.5: 4, 5 (solution)
Oct 11 chap 3.5: 7, chap 3.6: 1, 8, chap 4.1: 2, 3, 6, chap 4.2: 5 (solution)
Oct 18 chap 4.2: 7, 8, chap 4.3: 1, 5, 13 chap 5.1: 5, 10 (solution)
Nov 1 chap 5.2: 2, 6, chap 5.3: 3, 4, 5, 6,chap 5.4: 16 (solution)
Nov 13 chap 5.4: 23, 28, chap 5.5: 2, 8, 12, 14, 30, chap 5.6: 1 (solution)
Nov 20 chap 5.6: 2, 4, 8, 12, chap 6.1: 1, 4, 8