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Prove that any linear transformation ? : R? → R? maps a line passing through the...

Prove that any linear transformation ? : R? → R? maps a line passing through the origin to either the zero vector or a line passing through the origin. Generalize this for planes and hyperplanes. What are the images of these under linear transformations?

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Expert Solution

the origin to either the zero vector or a lime passing through the origin. Generalize this for planes and hyperplanes.

Colby Messinger answered 1 year ago
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