Vector Spaces in R2 and R3

Related lectures (28)

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Covers the analytical study of space, focusing on points, lines, and planes.

Covers vector spaces, bases, and decomposition of vectors in R³.

Introduces vector definitions, displacement, addition, and applications in geometry.

Explores vector and normal equations, covering lines, intersections, and distances in 2D and 3D geometry.

Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.

Covers matrices, linear applications, vector spaces, and bijective functions.

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Explores the geometry of the plane and complex numbers in R².

Explores linear similarities and similitudes, demonstrating their properties and applications in geometry.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.