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

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Advance Math

Prove that any linear transformation ? : R? ? R? maps a linepassing through the origin to either the zero vector or a linepassing through the origin. Generalize this for planes andhyperplanes. What are the images of these under lineartransformations?

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3.8 Ratings (429 Votes)
the origin to either    See Answer
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