# Answer to Question #23747 in Linear Algebra for Adam J

Question #23747

Geometrically describe the fundamental vector subspaces of a transformation.

Expert's answer

Each eigenvector oftransformation is being preserved on line defined by this vector via this

transformation.

So, every fundamental subspace is some hyperplane in space spanned on some

eigenvectors, and they form the basis of this hyperplane.

transformation.

So, every fundamental subspace is some hyperplane in space spanned on some

eigenvectors, and they form the basis of this hyperplane.

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