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Defining eigenvectors and eigenvalues for square matrices
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Defining eigenvectors and eigenvalues for square matrices
2:26
About this lesson
• What are eigenvectors?
• What are eigenvalues?
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Video 1 of 9
Defining eigenvectors and eigenvalues for square matrices
2 min
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Verifying eigenvectors and eigenvalues with examples
13 min
Understanding eigenspaces and finding their basis
10 min
Verifying eigenvectors and finding eigenvalues of a 2x2 matrix
8 min
Verifying an eigenvector and finding the eigenvalue of a 3x3 matrix
6 min
Verifying an eigenvalue and finding its corresponding eigenvector
11 min
Finding a basis for the eigenspace of a 3x3 matrix
15 min
Proving the only eigenvalue of a nilpotent matrix A² = 0 is zero
9 min
Proving the inverse of an eigenvalue belongs to the inverse matrix
10 min