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Math Foundations
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Linear Algebra
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Eigenvalues & eigenvectors
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181.
Definition of Eigenvalue
easy
What is an eigenvalue of a square matrix A?
A
The scalar λ such that Av = λv for some nonzero vector v — the scaling factor applied to the eigenvector
B
The scalar λ such that A - λI has full rank — the value at which the matrix becomes invertible
C
The scalar λ such that ||Av|| = λ||v|| for all vectors v — the uniform scaling factor of the transformation
D
The scalar λ such that det(A) = λ — the determinant of the matrix for a specific vector direction
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