Syllabus

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**Homework**

__For Exam 1__ (ultimately due by 5 February)

HW1: Systems of linear equations (*recommended due date 17 January*)

HW2: Row operations and augmented matrices (*recommended due date 29 January*)

__For Exam 2__ (ultimately due 4 March)

HW3: Matrix arithmetic

HW4: Transposes and inverses

HW5: Elementary matrices

HW6: Determinants

**Quizzes**

__For Exam 1__

**Quiz 1** (due 18 Jan in Blackboard) [soln]: Put the system into reduced row echelon form and interpret that form back as a system of linear equations:

$$\left\{ \begin{array}{lll}
2x&+17y&=23 \\
x&-y&=5 \\
3x&-34y&=3
\end{array}\right.$$
**Quiz 2** (due 25 Jan in Blackboard) [soln]: Put the following matrix into row reduced echelon form: $\begin{bmatrix} 0&1&3 \\ -1&-3&3 \\ 1&-3&0\end{bmatrix}$.

**Quiz 3** (due 29 Jan in Blackboard) [soln]: Find the rank of $\begin{bmatrix} 2&1&0 \\ 0&2&2 \\ -1&3&1 \end{bmatrix}$.

**Quiz 4** (due 5 Feb in Blackboard): Use linear algebra to balance the following chemical reaction:
\[ XeF_4 + H_2O \longrightarrow Xe + HF + O_2 + XeO_3 \]
__For Exam 2__

**Quiz 5** (due 13 February in Blackboard) [soln]: Find the inverse, if it exists, of the matrix $\begin{bmatrix} -1&4&5 \\ 3&6&-2 \\ 4&3&1 \end{bmatrix}$.

**Quiz 6** (due 22 Feb in Blackboard) [soln]: Compute
\[ \mathrm{det} \left( \begin{bmatrix} 4&0&7 \\ 7&18&5 \\ 21&0&0 \end{bmatrix}\right) \]

**Exams**

Exam 1

Exam 2

Exam 3