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 R2 onto circles and balls in Rn onto balls.
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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