Linear Algebra in 3 Dimensions: Change of Bases

Related lectures (25)

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Covers linear applications, matrices, transformations, and the principle of superposition.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

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

Explores linear dependence and independence of vectors in geometric spaces.

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

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

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

Covers the definition and use of coordinate systems and applications in bases and linear equations.