## Linear Algebra

**Instructor**:

**Yijia Chen**

**Time**:

8:00am - 9:40am Tuesday

9:55am - 11:35am Thursday

**Textbook**:

线性代数,
张巍 阚海斌 倪卫明编著 科学出版社, 2016.

**Main Reference**:

Linear Algebra,
Terrance Tao.

**Lecture Notes**:

(1) 12/09

(2) 14/09

(3) 10/10 (linear independence)

(4) 12/10 (matrix rank, solving systems of linear equations, matrix inverses)

(5) 17/10 (determinants, row views of determinants)

(6) 19/10 (column views of determinants)

(7) 24/10 (properties of determinants, adjoint matrices)

(8) 26/10 (submatrices and rank, vector spaces and linear transformations)

(9) 31/10 (transition matrices, subspaces, null spaces, column spaces)

(10) 2/11 (null spaces, column spaces, intersection and sum of subspaces)

(11) 7/11 (inner product spaces)

(12) 9/11 (not yet available)

(13) 23/11 (not yet available)

(14) 28/11 (not yet available)

(15) 30/11 (not yet available)

(16) 5/12 (not yet available)

(17) 7/12 (not yet available)

(18) 12/12 (the rank-nullity Theorem for linear maps and its applications)

(19) 14/12 (characteristic polynomials, eigenspaces, linear independence of eigenvectors)

(20) 19/12 (matrix diagonalization, real symmetric matrices)

(21) 21/12 (diagonalization of real symmetric matrices, quadratic forms, Rayleigh quotients)

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*Yijia Chen*, *last modified*: 25. 12. 2017