Carnegie Mellon University · 21-266

Vector Calculus using Matrix Algebra

基于矩阵代数的向量微积分

Multivariable and vector calculus designed for computing students, using matrices and linear transformations for deeper and more general results.

Subject：Calculus

Level：Intermediate

Suggested stage：Year 2 (inferred)

Public-material edition：2026

Language：English

Videos：Not verified

Assignments / solutions：Not verified / Not verified

Prerequisites

CMU 21-241 with a solid grade or equivalent linear algebra

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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 description, topics, and CS rationaleCarnegie Mellon University Undergraduate Catalog ↗

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Carnegie Mellon University Undergraduate Catalog · verified 2026-08-03

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