Linear Algebra: Change of Basis

Related lectures (21)

Page 1 of 3

Covers linear independence, bases, and coordinate systems with examples and theorems.

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.

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

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.

Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

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

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.