- Intro (6/4)
- Terms: vector, Rn, linear map
- 1.2 (6/5)
- Terms: matrix, row, column, aij, diagonal, vector, matrix addition, scalar multiplication, transpose
- Examples: 1-14
- Problems: 1-7, 11
- 1.3 (6/5)
- Terms: dot product, matrix multiplication
- Examples: 1-13
- Problems: 1-24
- 1.4 (6/5)
- Theorems: 1.1, 1.2, 1.3, 1.4
- Examples: 1-9
- Problems: 3, 5, 9-12
- 5.1 (6/6)
- Terms: linear transformation, linear operator, standard matrix representation
- Theorems: 5.1, 5.3
- Examples: 1, 2, 10
- Problems: 5, 6, 8-11
- 1.1 (6/7)
- Terms: linear system, (in)consistent, homogeneous, (non)trivial solution, equivalent, back substitution
- Examples: 1, 3-5
- Problems: 1-16, 18
- 2.1 (6/7)
- Terms: echelon form, leading term, elementary row operation, row equivalent, augmented matrix, Gaussian elimination/Gauss-Jordan reduction
- Theorems: 2.1, 2.2, 2.3, Cor 2.1, 2.4
- Examples: 4, 7-11
- Problems: 5-9, 14-17
- 5.2 (6/7-8)
- Terms: kernel/nullspace, range
- Theorems: 5.4a, 5.5
- Examples: 3
- Problems: 1, 2
- 3.3 (6/8-11)
- Terms: subspace, closure, linear combination, span
- Theorems: 3.3, 3.4
- Examples: 1, 4-6, 10
- Problems: 1-6, 19, 21-26
- 3.4 (6/11-12)
- Terms: linear (in)dependence
- Theorems: 3.5, 3.6
- Examples: 1, 3, 4, 6, 10
- Problems: 2, 7-10, 15, 16
- 3.5 (6/12)
- Terms: basis, standard basis
- Theorems: 3.7, 3.8, 3.10
- Examples: 1
- Problems: 1, 2, 7, 19, 20, 28
- 3.5 (6/13)
- Terms: dimension
- Theorems: 3.9, Cor 3.1-5, 3.11
- Problems: 11, 25, 26
- 5.2 (6/13)
- Terms: one-to-one, onto
- Theorems: 5.4b
- Examples: 1, 2, 5, 7
- Problems:
- 5.2 (6/14)
- Terms: rank, nullity
- Theorems: 5.6, Cor 5.2
- Examples: 9
- Problems: 12, 16, 21, 24-26, 30
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