## MAT B41 — Week 3

**Homework 2 is available. Due next week!**

**Additional resources:**

- Wikipedia on the triangle inequality.
- Wikipedia on matrix inverses.
- Khan Academy on matrix inverses.
- Khan Academy on 3×3 matrix inverses.
- Joel Feinstein on open balls and boundedness.
- Denis Potapov proves open balls are open.

**Suggested Exercises:**

- Section 1.5 n-Dimensional Euclidean Space: 1, 2, 7, 9, 10, 11, 15, 16, 17
- Section 2.2 Limits and Continuity: 1, 2, 4b, 8, 11a, 16, 18, 20, 32, 33

**Past Term Tests:**

*2016 Term Test*: Calculate the following limits, showing all your steps, or show that the limit does not exist:

Define by and when .

Find all points such that is continuous at .

*2015 Term Test*:

Define by and when .

Find all points such that is continuous at .

**Notes:**

- Parker’s notes
- Kostya’s notes — Now with colour!

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