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MIT-OCW-18.06SC-Linear-Algebra-Fall-2011

License: CC BY-NC-SA 4.0

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My coursework for MIT OCW 18.06SC Linear Algebra Fall 2011 class.

All solutions are my own.

Because the Scholar (SC) version of the course was taken, the coursework is organized into Sessions and Exams. Each includes the problem statements alongside my handwritten solutions.

Taught by Prof. Gilbert Strang and Recitation Instructors Martina Balagovic, Linan Chen, Benjamin Harris, Ana Rita Pires and David Shirokoff.

Course Homepage: https://ocw.mit.edu/courses/18-06sc-linear-algebra-fall-2011/

Topics Covered

Topic Subtopics
Ax = b and the Four Subspaces Geometry of linear equations, matrix elimination, inverse matrices, LU factorization, vector spaces, column space, nullspace, basis, dimension, fundamental subspaces
Least Squares, Determinants and Eigenvalues Orthogonal vectors, projections, least squares, Gram-Schmidt process, determinant properties, eigenvalues, diagonalization, differential equations, Markov matrices
Positive Definite Matrices and Applications Symmetric matrices, complex matrices, FFT, positive definiteness, Jordan form, singular value decomposition, linear transformations, basis changes, image compression, pseudoinverses

Coursework Done

Type Count
Sessions 31
Exams 3
Final Exam 1

Transcript

Assessment Grade
Exam 1 88/100*
Exam 2 94/100*
Exam 3 80/100*
Final Exam 93/100*

*Exams were not graded at the time of completion (~2024). To be more precise, they were graded in 2026 using Claude Opus 4.6 with extended thinking enabled, cross-referenced with the official solutions.

My Other MIT Coursework

18.01SC Single Variable Calculus
18.02SC Multivariable Calculus
6.0001 Intro to CS & Programming in Python
6.0002 Intro to Computational Thinking & Data Science
6.006 Introduction to Algorithms
6.034 Artificial Intelligence
6.036 Introduction to Machine Learning
6.042J Mathematics for Computer Science

I'd be very happy to discuss anything related to MIT OCW. Reach me at benjamin.jazayeri@gmail.com.

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My coursework for MIT OCW 18.06SC Linear Algebra Fall 2011, taught by Prof. Gilbert Strang

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