If B(p. ) is the open ball with center p and radius 8 in R, prove that

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If B(p. δ) is the open ball with center p and radius 8 in R", prove that λB(p, δ) = B(λp, λδ), where δ > 0 and λ > 0. This means that dilations and nonzero contractions map circles in Ronto circles and balls in Ronto balls.

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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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