- #1
negation
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Let's say my eigenvalue λ=-1 and we assume eigenvector of zero are non-eigenvector.
An eigenspace is mathematically represented as Eλ = N(λ.In-A) which essentially states, in natural language, the eigenspace is the nullspace of a matrix.
N(λ.In-A) is a matrix.
Would it then be valid to say that the eigenspace, Eλ, whose eigenvalue, λ=-1, is the nullspace of the matrix, N(λ.In-A), is equivalent to the the vector , v, where
Av = 0.
If v is the nullspace of the matrix A then Av = 0, and similarly, if Eλ is the nullspace of a matrix, N(λ.In-A), then, it must equally be true that
[ N(λ.In-A) ] [Eλ=-1] = 0
An eigenspace is mathematically represented as Eλ = N(λ.In-A) which essentially states, in natural language, the eigenspace is the nullspace of a matrix.
N(λ.In-A) is a matrix.
Would it then be valid to say that the eigenspace, Eλ, whose eigenvalue, λ=-1, is the nullspace of the matrix, N(λ.In-A), is equivalent to the the vector , v, where
Av = 0.
If v is the nullspace of the matrix A then Av = 0, and similarly, if Eλ is the nullspace of a matrix, N(λ.In-A), then, it must equally be true that
[ N(λ.In-A) ] [Eλ=-1] = 0
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