Linear Algebra

Module II

Materials for this module will be posted before we reach it. In the meantime, here is the plan. See the Schedule for dates and assessments.

Module notes covering this whole module: Linear Algebra notes

Lecture 3: Matrices and Matrix Operations

Topics: Economic model motivation; matrices; addition, subtraction, and scalar multiplication

Textbook references: 4.1, 4.2

Lecture 4: Matrix Multiplication and Vectors

Topics: Matrix multiplication; vectors; geometric representation; inner product; linear dependence

Textbook references: 4.2–4.4

Lecture 5: Identity, Null, and Transpose Matrices

Topics: Identity, null, and idempotent matrices; transpose of a matrix

Textbook references: 4.5, 4.6

Lecture 6: Inverse, Nonsingularity, and the Determinant

Topics: Inverse of a matrix; conditions for nonsingularity; rank; the determinant

Textbook references: 4.6, 5.1, 5.2

Lecture 7: Computing Determinants, Inversion, and Cramer’s Rule

Topics: Computing determinants; matrix inversion; Cramer’s rule; applications

Textbook references: 5.2–5.5, 4.7