Math 2130 Fall 2021

## MATH 2130: Linear Algebra for Non-Math Majors (Fall 2021)

### Schedule

Numbers are for orientation and refer to sections in Lay et al, Linear algebra and its applications.
1. 08/23: some applications of linear algebra
2. 08/25: systems of linear equations, matrix representation (1.1), matrix times vector
3. 08/27: elementary row operations, row reduction, (reduced) echelon form (1.2)
4. 08/30: free variables, solution in parametrized form, homogenous and inhomogenous systems
5. 09/01: existence and number of solutions of Ax=b (1.2), vectors, linear combinations, span (1.3)
6. 09/03: Ax=b is consisten iff b is in the span of the columns of A
7. 09/08: solutions of homogenous and inhomogenous systems (1.5), nullspace of A
8. 09/10: linear independent vectors (1.7)
9. 09/13: linear transformations (1.8)
10. 09/15: standard matrix of a linear transformation, every linear map is of the form x -> Ax (1.9)
11. 09/17: injective, surjective, bijective linear maps (1.9)
12. 09/20: characterizing injective, surjective x -> Ax by the columns of A (1.9), matrix addition (2.1)
13. 09/22: composition of linear maps, matrix multiplication (2.1)
14. 09/24: inverse matrix (2.2)
15. 09/27: REVIEW
16. 09/29: MIDTERM 1

### Homework

1. due 09/03 [pdf] [solutions]
2. due 09/10 [pdf] [solutions]
3. due 09/17 [pdf] [solutions]
4. due 09/24 [pdf]