Carnegie Mellon University · 21-241

Matrices and Linear Transformations

矩阵与线性变换

An introductory linear algebra course covering systems, matrices, vector spaces, linear transformations, determinants, eigenvalues, and proof-based reasoning.

Subject：Linear Algebra

Level：Intermediate

Suggested stage：Year 2 (inferred)

Public-material edition：2016

Language：English

Videos：Not verified

Assignments / solutions：Available / Available

Prerequisites

CMU 15-151, 21-127, or equivalent proof experience recommended

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24 direct tasks

▶Lectures, video & readingCourse content in the official sequence12

Topic 1: Linear Systems Topic 2: Matrices Topic 3: Vector Spaces Topic 4: Linear Independence Topic 5: Basis and Dimension Topic 6: Linear Transformations Topic 7: Determinants Topic 8: Eigenvalues Topic 9: Diagonalization Topic 10: Orthogonality Topic 11: Least Squares Topic 12: Applications

✓Assignments & practiceOpen the matching problem or assignment page12

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Official syllabusCarnegie Mellon University Department of Mathematical Sciences ↗

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Carnegie Mellon University Department of Mathematical Sciences · verified 2026-08-03

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