## MAT B41 — Week 2

**Tutorials start this week. Homework #1 posted. Recommended Exercises Check-In Survey.**

**Update (2018-06-16)**: Several people spotted a typo in Question 2.5 of Homework 1. The question read: “Express the vector as a linear combination of , , and ”. This was weird because . The vector in the question has been changed to: .

**Additional resources:**

- Wikipedia on determinants.
- Khan Academy on 3×3 matrix determinants.
- Khan Academy on the cross product.
- ThreeBlueOneBrown on the cross product.
- The Trev Tutor on co-factor expansion.

**Suggested Exercises:**

- Section 1.3 Matrices, Determinants, and the Cross Product: 1, 2, 3, 4, 5, 6, 7, 8, 16, 17, 28, 29, 35

**Past Term Tests:**

*2016 Term Test:* Let .

- Write as a polynomial.
- Define and find the directional derivative of at in the direction of the normal line to the plane .

The source of the homework has been posted here.

**Notes:**

The notes are available here:

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