Linear Algebra: Systems of Equations and Transformations

Related lectures (27)

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Covers the organization of linear algebra course and exercises for civil engineering and environmental sciences students.

Covers linear independence, bases, and coordinate systems with examples and theorems.

Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

Introduces eigenspaces in linear algebra through definitions and practical examples of determining eigenspaces for matrices.

Covers fundamental linear algebra concepts like vector spaces and eigenvalues.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Explores the definition and properties of vector subspaces in linear algebra.

Explores geometric transformations in R2 and R3, including linear transformations, projections, matrices, and trace properties.

Covers matrix notation, linear equations, vector spaces, and applications of least squares.

Explores area determination, linear applications, matrix operations, and vector spaces.