This course will be an introduction to linear algebra.

Announcements

• A friendly reminder (in verse!) from our neighbors about the Grand Theorem of Linear Algebra. Good luck on the final, and thanks for a great quarter!

Recitation Notes

• Session 1 (01/10): Course philosophy, subspaces, polynomials.
• Session 2 (01/17): Linear independence, bases, dimension, vector space operations, magic squares.
• Session 3 (01/24): Affine linear transformations, induction, analyzing linear maps.
• Session 4 (01/31): Matrix representatives of linear transformations, change of basis, systems of linear equations.
• Session 5 (02/07): Midterm review.
• Session 6 (02/14): Determinants, expansion by minors, Hadamard matrices.
• Session 7 (02/21): Eigenvalues and eigenvectors.
• Session 8 (02/28): Linear algebra from 10,000 feet; orthogonal, unitary, Hermitian, skew-Hermitian matrices; spectral theorem.
• Session 9 (03/07): Sundry problems in linear algebra.

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