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Math Foundations
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Linear Algebra
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Eigenvalues & eigenvectors
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182.
Definition of Eigenvector
easy
What is an eigenvector of a square matrix A?
A
A unit vector v such that v·Av = 1 — the matrix preserves its inner product with itself
B
A vector v such that AᵀAv = v — the matrix applied twice returns the original vector
C
A nonzero vector v such that Av = λv — the matrix only scales it, not changing its direction
D
A nonzero vector v such that Av = 0 — the matrix maps it to the zero vector under the linear transformation
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