Determinant of a Matrix

Related lectures (27)

Page 1 of 3

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explains how to find free variables in matrix equations and analyze characteristic polynomials.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Covers matrix eigenvalues, eigenvectors, and their linear independence.

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.

Explores orthogonally diagonalizable matrices, eigenvectors, bases, and matrix properties.

Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.

Covers the reduction of a linear transformation in a 2-dimensional space to find a simpler matrix representation.

Covers the method of diagonalization for determining if a non-square matrix A is diagonalizable.

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.