Linear Algebra: Projection and Rotation

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Explores harmonic oscillators, pendulum movement, and spherical coordinates in physics.

Introduces orthogonal bases, projection onto subspaces, and the Gram-Schmidt process in linear algebra.

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

Covers Gaussian noise and decision-making in communication systems, emphasizing the importance of understanding Gaussian noise in signal processing.

Covers the concept of sufficient statistics and hypothesis testing in reading assignments by Emre Telatar.

Covers the theory behind Gaussian processes and the design of receivers using MAP calculations.

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.

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

Explores normal equations, pseudo-solutions, unique solutions, and symmetric matrices in linear algebra.