Evaluation #69662
Details
904202498
mharris385@gatech.edu
Accepted Applicant
xc4
223 James P Brawley Drive, Atlanta, GA 30314
United States
[ 110936 ]
Linear Algebra
Spring 2024
(Semester Basis)
3 credit hours
MATH 1XXX, 1 credit hours
Policy
MATH 1XXX, 1 credit hours
Policy
Notes
2025-12-02 14:54:16 - Madison Dianne Harris <mharris385>
Section O, 1.1–1.2 Introduction to linear algebra Systems of linear equations Row reduction Echelon forms Solutions of linear systems (unique, infinite, none) Sections 1.3 – 1.5 Vectors and vector equations Matrix equations Matrix multiplication Algebraic properties of matrices Linear combinations and span Vector equations equivalence to matrix equations Sections 1.7 – 1.8 Linear independence Criteria for linear dependence Sets of vectors Introduction to linear transformations Matrix representations of transformations Section 1.9, 2.1 Linear transformations in more depth Matrix of a linear transformation Inverse of a matrix Invertibility Characterizations of invertible matrices Sections 2.2 – 2.3 Factorizations of matrices Subspaces of R n R n Null space and column space Linear independence in subspaces Basis and dimension Sections 3.1 – 3.3 Determinants Properties of determinants Determinants and invertibility Cofactor expansion and Cramer's Rule Sections 4.1 – 4.3 Vector spaces Subspaces Null space, column space, row space Rank and nullity Coordinate systems Sections 4.4 – 4.6 Linear transformations revisited Kernel and range One-to-one and onto transformations Matrix representation of a transformation Change of basis Sections 5.1 – 5.3 Eigenvalues and eigenvectors Characteristic equations Diagonalization of matrices Eigenspaces Orthogonal diagonalization of symmetric matrices Sections 6.1 – 6.2, 6.4 Inner product spaces Dot product Norms Orthogonality Orthogonal sets Orthogonal projections Gram-Schmidt process Orthonormal bases Applications to data science, cryptography, and 3D imaging
2025-12-01 09:48:58 - Jake D Vaughn <jvaughn67>
Please list the topics covered in each section and then return to the Registrar
Trail Log
2025-12-04 08:14:46
Final equivalencies entered by Emma L Norrell (epresberg6) Final equiv: MATH 1553 (2 hrs) AND MATH 1XXX (1 hrs). Policy. Phase set to Complete.
2025-12-03 16:57:40
Draft equivalencies entered by Xu-Yan Chen (xc4) Draft equiv: MATH 1553 (2 hrs) AND MATH 1XXX (1 hrs). Policy. Phase set to Registrar 2.
2025-12-03 07:15:02
Assigned to Xu-Yan Chen (xc4) by Jake D Vaughn (jvaughn67). Phase set to Department.
2025-12-02 14:55:22
Resubmitted to Registrar 1 by Madison Dianne Harris (904202498). Phase set to Registrar 1.
2025-12-01 09:48:58
Sent back to Student by Jake D Vaughn (jvaughn67). Phase set to Student. Must be resubmitted.
2025-11-28 14:49:23
Evaluation initiated by Madison Dianne Harris (904202498). Phase set to Registrar 1.