Lecture
Vectors: Fundamentals
Related lectures (243)
Vectors: Definitions and Operations
Introduces vector definitions, displacement, addition, and applications in geometry.
Linear Algebra: Matrices and Linear Applications
Covers matrices, linear applications, vector spaces, and bijective functions.
Linear Transformations: Matrices and Kernels
Covers linear transformations, matrices, kernels, and properties of invertible matrices.
Geometric Rotations in 2D
Covers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.
Analytical Study of Plan: Points, Lines
Covers the analytical study of the plan, focusing on points and lines.
Parts and Vectors in Coordinates
Covers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.
Vector Calculus in 3D
Covers the concept of 3D vector space, scalar product, bases, orthogonality, and projections.
Translations and Homotheties
Covers translations, homotheties, and geometric transformations using vectors and matrices.
Diagonalization of Linear Transformations
Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.
Vector Algebra: Scalar Product
Explores the scalar product of vectors, including properties and calculation methods.