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