Lectures related to Metrics: Line and Convex Cone

Vector Equations and Linear Combinations

Covers vector equations, linear combinations, and the span of vectors.

Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.

Vector Spaces: Bases and Dimension

Explores bases, dimensions, and matrix ranks in vector spaces with practical examples and proofs.

Vector Calculus in 3D

Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.

Linear Combinations: Differenced Observations

Covers linear combinations between receivers and satellites for differenced observations with two receivers and one satellite per epoch.

Matrix Operations: Coefficients, Combinations, and Applications

Covers matrix operations, coefficients, combinations, and applications in various scenarios.

Linear Algebra: Vector Spaces

Explores vector spaces, linear independence, and spanning sets in linear algebra.

Principal Component Analysis: Dimensionality Reduction

Covers Principal Component Analysis for dimensionality reduction, exploring its applications, limitations, and importance of choosing the right components.