08/20: Work out some examples of matrix multiplications on your own (no need to hand it in). We will do more practice next time.

08/22: 1.2.7(b)(c)(d)

08/24: 1.3.1(c)(e)

Starting from here we are sticking to the second edition of the textbook (copyright 2018 Springer)

08/27: 1.3.33(c)

08/29: 1.4.1(h)

08/31: 1.4.11(b)(d)

09/05: Work through Example 1.12 on page 28 of the book (no need to hand in). Do exercise 1.4.21(d) (hand in).

09/07: 1.5.31(f)

09/12: 1.8.1(e)

09/14: 1.8.23(h)

09/17: 1.9.1(f), 1.9.19.

09/19: Re-work through all the examples that we did in class today (no need to hand-in). Make sure that you feel comfortable with the notation of vector spaces.

09/21: 2.3.17.
09/24: 2.3.3(c). 2.3.12(optional, no need to hand-in, you need some knowledge from ODE)
09/28: 2.4.2(b), 2.5.1(b)
10/12: 4.2.1 (a)(b)(c)
10/15: 4.2.6 (f)
10/17:4.3.27(d)
10/24: 3.5.1(a)(b) (do not use determinant, use completing the squares)
10/26: 3.5.7(d) (find the signature of it)
10/29： 3.5.19(e)
11/2: 5.2.1 (just find the minimum)
11/7: 8.2.1(e)(h) (Find the eigenvalues, corresponding eigenspaces, the a basis of the each eigenspace). The eigenvalues are easy numbers.
11/14： 8.3.13(g)
11/19:8.5.13(d) (Spectral decomposition is the one from the class, i.e. the decomposition A = S^{-1} D S where S is orthogonal and D is diagonal)