Math 9700-202, Bridge Course (Algebra), Summer 2024

Resources

• Course schedule
• Slides on group theory (Thurs. July 11 only)

Daily worksheets

• HW 1: pdf | tex Topic: The four fundamental subspaces. Due Tuesday, July 2, 2024.
• HW 2: pdf | tex Topic: Projection and least squares. Due Wednesday, July 3, 2024.
• HW 3: pdf | tex Topic: Gram-Schmidt and QR factorization. Due Friday, July 5, 2024.
• HW 4: pdf | tex Topic: Vector spaces and subspaces. Due Tuesday, July 9, 2024.
• HW 5: pdf | tex Topic: Spanning, linear independence, basis. Due Wednesday, July 10, 2024.
• HW 6: pdf | tex Topic: Quotients. Due Thursday, July 11, 2024.
• HW 7: pdf | tex Topic: The isomorphism theorems. Due Friday, July 12, 2024.
• HW 8: pdf | tex Topic: The dual of a vector space. Due Monday, July 15, 2024.
• HW 9: pdf | tex Topic: The transpose of a linear map. Due Tuesday, July 16, 2024.
• HW 10: pdf | tex Topic: The matrix of a linear map. Due Wednesday, July 17, 2024.
• HW 11: pdf | tex Topic: Multilinearity. Due Thursday, July 18, 2024.
• HW 12: pdf | tex Topic: Determinant and trace. Due Friday, July 19, 2024.
• HW 13: pdf | tex Topic: Eigenvalues. Due Monday, July 22, 2024.
• HW 14: pdf | tex Topic: Eigenvectors and generalized eigenvectors. Due Tuesday, July 23, 2024.
• HW 15: pdf | tex Topic: Eigenspaces. Due Wednesday, July 24, 2024.
• HW 16: pdf | tex Topic: Jordan canonical form. Due Thursday, July 25, 2024.
• HW 17: pdf | tex Topic: Inner products. Due Friday, July 26, 2024.
• HW 18: pdf | tex Topic: Adjoints. Due Monday, July 29, 2024.
• HW 19: pdf | tex Topic: Quadratic forms, left and right inverses. Due Tuesday, July 30, 2024.
• HW 20: pdf | tex Topic: Singular value decomposition, pseudo-inverses. Due Wednesday, July 31, 2024.
• HW 21: pdf | tex Topic: Singular value decomposition, pseudo-inverses. Due Thursday, August 1, 2024.