ECE551

Evolving lecture-by-lecture topics

• Lecture 1 (Aug. 27th, 2024): Fields; Vector spaces; Linear operators and matrix representation (book Chapter 1).
• Lecture 2 (Aug. 29th, 2024): Matrices (adjoint, linear-operator perspective); Vector-vector multiplication (inner product and outer product) (book Chapter 2).
• Lecture 3 (Sept. 3rd, 2024): Matrix-matrix multiplication; Invertibility; Orthogonality; Orthogonal/Unitary matrices (book Chapter 2)
• Lecture 4 (Sept. 6th, 2024): Determinant; Eigenvalues; Eigenvectors (book Chapter 2 and 3)
• Lecture 5 (Sept. 10th, 2024): Unitary eigendecomposition; Normal matrices; SVD (definition) (book Chapter 3)
• Lecture 6 (Sept. 12th, 2024): Relationships between eigendecomposition and SVD; non-uniqueness of SVD (book Chapter 3)
• Lecture 7 (Sept. 17th, 2024): Subspaces; Linear Independency; Bases; Dimension (book Chapter 4)
• Lecture 8 (Sept. 19th, 2024):