Linear Algebra: Applications and Spaces

Related lectures (27)

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Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Explores matrix representations of linear maps and their invariance, using examples and special cases.

Covers matrices, linear applications, vector spaces, and bijective functions.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Covers the determination of matrices associated with linear transformations and explores the kernel and image concepts.

Explains linear independence, basis, and matrix rank with examples and exercises.

Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.

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

Covers the concepts of kernel and image of a linear transformation and their relationship with the rank of the matrix.