## MAT B41 — Week 2

Posted in 2018 -- MAT B41, Lecture Notes, Uncategorized by pgadey on 2018/05/15
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 $\vec{i} - 2\vec{j} + 4\vec{j}$ as a linear combination of $\vec{a}$, $\vec{b}$, and $\vec{c}$”. This was weird because $\vec{i} - 2\vec{j} + 4\vec{j} =\vec{i} + 2\vec{j}$. The vector in the question has been changed to: $\vec{i} - 2\vec{j} + 4\vec{k}$.

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 $A(x,y,z) = \left( \begin{array}{ccc} x& y& z\\ 1& 2& x\\ 0& 3& y\\ \end{array} \right)$.

1. Write $\det A(x,y,z)$ as a polynomial.
2. Define $f(x,y,z) = \det A(x,y,z)$ and find the directional derivative of $f$ at $(-1,2,1)$ in the direction of the normal line to the plane $x + 2y + 2z = 0$.

The $\LaTeX$ source of the homework has been posted here.

Notes:

The notes are available here: