:: Lecture Videos for Discover Linear Algebra

DISCLAIMER   These are not professionally produced/edited. Use at your own risk.

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Appendix A Complex Numbers (48 min)
Chapter 22 Change of Basis (62 min)
Chapter 23 Complex Vector Spaces (22 min)
Chapter 24 Eigenvalues and Eigenvectors (51 min)
ERROR ALERT  Small error in the very first matrix multiplication example: \(\mathbf{y}_2 = A\mathbf{x}_2\) result should have been \((0,-1)\), not \((0,1)\).
Chapter 25 Diagonalization (58 min)
Note   This is the same video as in the videos page for DLA1 (listed under Chapter 22 there) except that some Chapter 26 "spoilers" have been edited out.
Chapter 26 Similarity (56 min)
Chapter 27 Systems of Differential Equations (42 min)
Chapter 28 Block-Diagonal Form (92 min)
Chapter 29 Scalar-Triangular Form (43 min)
Chapter 30 Triangular Block Form (36 min)
Chapter 31 Consequences of Triangular Block Form (63 min)
Chapter 32 Elementary Nilpotent Form (54 min)
Chapter 33 Triangular-Block Nilpotent Form (60 min)
Chapter 34 Jordan Normal Form (35 min)
Chapter 36 Inner Product Spaces (84 min)
Chapter 37 Orthogonality & Gram-Schmidt (75 min)
Chapter 38 Orthogonal Projection; Best Approximation; Least Squares (69 min)
Chapter 39 Matrix Adjoints (62 min)
Chapter 40 Orthogonal/Unitary Diagonalization (79 min)
Chapter 41 Quadratic Forms (51 min)
Chapter 42 Linear Transformation Basics (92 min)
Chapter 43 Kernel and Image (72 min)
Chapter 44 Compositions, Inverses, and Isomorphisms (68 min)
Chapter 45 The Matrix of a Linear Transformation (62 min)
Chapter 46 Similarity of Linear Operators (62 min)