Diagonalizable matrices |Linear Algebra|How to check triangular matrices are diagonalizable?
Автор: MeeraMaths
Загружено: 2024-01-10
Просмотров: 3410
Описание:
Title:
How to Verify if a Matrix is Diagonalizable
Description:
In this video, we'll show you how to verify if a matrix is diagonalizable. A matrix is diagonalizable if it has a full set of linearly independent eigenvectors.
Key concepts:
Diagonalizable matrices
Eigenvalues and eigenvectors
Linear independence
Algebraic and geometric multiplicity
Steps to verify diagonalizability:
1. Find the eigenvalues of A
2. Find the corresponding eigenvectors
3. Check if eigenvectors are linearly independent
4. Check algebraic and geometric multiplicity
#diagonalisablematrices
#matrices
#diagonalization
#linearalgebra
#algebraicmultiplicity
#geometricmultiplicity
#eigenvalues
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