## Results for CME 103: Introduction to Matrix Methods |
2 courses |

Introduction to applied linear algebra with emphasis on applications. Vectors, norm, and angle; linear independence and orthonormal sets; applications to document analysis. Clustering and the k-means algorithm. Matrices, left and right inverses, QR factorization. Least-squares and model fitting, regularization and cross-validation. Constrained and nonlinear least-squares. Applications include time-series prediction, tomography, optimal control, and portfolio optimization. Undergraduate students should enroll for 5 units, and graduate students should enroll for 3 units. Prerequisites:MATH 51 or CME 100, and basic knowledge of computing (CS 106A is more than enough, and can be taken concurrently). EE103/CME103 and Math 104 cover complementary topics in applied linear algebra. The focus of EE103 is on a few linear algebra concepts, and many applications; the focus of Math 104 is on algorithms and concepts.

Terms: Aut, Spr
| Units: 3-5
| UG Reqs: GER:DB-Math, WAY-AQR, WAY-FR

Instructors: ; Boyd, S. (PI); Osgood, B. (PI); Tse, D. (PI); Angeris, G. (TA); Chang, S. (TA); Daniel, J. (TA); Degleris, A. (TA); Go, C. (TA); Harvey, B. (TA); Jani, T. (TA); Jimenez, S. (TA); Kamath, G. (TA); Li, L. (TA); Lin, J. (TA); Nishimura, M. (TA); Patel, N. (TA); Pathak, R. (TA); Prakash, L. (TA); Sholar, J. (TA); Spear, L. (TA)

Introduction to applied linear algebra with emphasis on applications. Vectors, norm, and angle; linear independence and orthonormal sets; applications to document analysis. Clustering and the k-means algorithm. Matrices, left and right inverses, QR factorization. Least-squares and model fitting, regularization and cross-validation. Constrained and nonlinear least-squares. Applications include time-series prediction, tomography, optimal control, and portfolio optimization. Undergraduate students should enroll for 5 units, and graduate students should enroll for 3 units. Prerequisites:MATH 51 or CME 100, and basic knowledge of computing (CS 106A is more than enough, and can be taken concurrently). EE103/CME103 and Math 104 cover complementary topics in applied linear algebra. The focus of EE103 is on a few linear algebra concepts, and many applications; the focus of Math 104 is on algorithms and concepts.

Terms: Aut, Spr
| Units: 3-5
| UG Reqs: GER:DB-Math, WAY-AQR, WAY-FR

Instructors: ; Boyd, S. (PI); Osgood, B. (PI); Tse, D. (PI); Angeris, G. (TA); Chang, S. (TA); Daniel, J. (TA); Degleris, A. (TA); Go, C. (TA); Harvey, B. (TA); Jani, T. (TA); Jimenez, S. (TA); Kamath, G. (TA); Li, L. (TA); Lin, J. (TA); Nishimura, M. (TA); Patel, N. (TA); Pathak, R. (TA); Prakash, L. (TA); Sholar, J. (TA); Spear, L. (TA)