Cramer's Rule and Volume

Related lectures (26)

Page 2 of 3

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Explores determinants, similarity invariance, Cramer's formula, and geometric interpretations in matrices.

Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.

Covers the definition of 3x3 matrices, determinants, matrix operations, and invertibility.

Explores matrices, inverses, and their applications in linear algebra, emphasizing composition and transformation properties.

Covers the basics of linear mapping and coordinate systems.

Covers strategies for matrix operations and the concept of vector spaces.

Covers the concept of the matrix of cofactors and a formula to calculate the inverse of a matrix.

Covers linear algebra in three dimensions, focusing on matrices and determinants.

Covers matrix eigenvalues, eigenvectors, and their linear independence.