Projection Matrix

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Covers the reduction of a linear application and finding corresponding reduced forms and bases.

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

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

Covers the process of finding a base from a system of generators in linear algebra.

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

Explains orthogonal families, bases, and projections in vector spaces.

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

Covers the concept of interesting subspaces related to matrices and the change of basis matrix.

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.