## MAT 342: Linear Algebra

## Fall 2019

Class Time |
M,W,F 2:00pm – 2:50pm |

Class Location |
Tempe – WXLRA 107 |

Instructor |
Sébastien Motsch |

Office |
WXLRA 836 |

Email |
smotsch@asu[dot]edu |

Office Hours |
M,W 11:00 – 12:00pm |

Class webpage |
www.seb-motsch.com/teaching |

## Textbook

- Steven J. Leon,
*Linear algebra with applications* (8th or 9th edition)
- (Supplementary) Gilbert Strang,
*Introduction to linear algebra* (5th edition)

### Course description

*Vector spaces*: linear systems, determinant, dimension *(Chap. 1-3)*
*Linear transformations*: matrix representation, orthogonality *(Chap. 4-5)*
*Matrix decomposition*: eigenvalues, diagonalization, SVD *(Chap. 6)*

The grading scale is:

- weekly homework (25%)
- three mid-terms (45%)
- one final (30%)

The first exam will be held on **Monday (09/23)** in class.

### Class Schedule

Aug 23 – 30 |
Linear systems, Matrix (chap. 1.1-1.3) |

Sep 2 – 6 |
Matrix manipulation (chap. 1.4-1.5) |

Sep 9 – 11 |
Determinant (chap. 2.1-2.3) |

Sep 13 – 18 |
Vector spaces (chap. 3.1-3.3) |

Sep 20 – 23 |
Revision + Exam 1 |

Sep 25 – 30 |
Linear independence, Basis (chap. 3.3-3.6) |

Oct 3 – 7 |
Linear transformations (chap. 4.1-4.3) |

### Class homework

Aug 30 |
**chap 1.1**: 1 bc, 4 abc, 6 efg, 7, 8, 10 (solution) |

Sep 6 |
**chap 1.2**: 6, 9, 15, **chap 1.3**: 2, 9, 11, 13 (solution) |

Sep 13 |
**chap 1.4**: 1, 3, 7, 9, 16 **chap 1.5**: 7, 8 (b,d) (solution) |

Sep 20 |
**chap 2.3**: 1, 6, **chap 3.1**: 13, **chap 3.2**: 2, 4, 10, 13 (solution) |

Oct 4 |
**chap 3.3**: 2, 6, 16, **chap 3.4**: 3, 8, 10, **chap 3.5**: 4, 5 (solution) |

Oct 11 |
**chap 3.5**: 7, **chap 3.6**: 1, 8, **chap 4.1**: 2, 3, 6, **chap 4.2**: 5 |

Oct 18 |
**chap 4.2**: 7, 8, **chap 4.3**: 1, 5, 13 **chap 5.1**: 5, 10 |