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Let be the set of all matrices with real entries. Define Det: byDet ca bc dd = ad bc.(a)

A Transition to Advanced Mathematics | 7th Edition | ISBN: 9780495562023 | Authors: Douglas Smith, Maurice Eggen, Richard St. Andre ISBN: 9780495562023 335

Solution for problem 6 Chapter 6.4

A Transition to Advanced Mathematics | 7th Edition

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A Transition to Advanced Mathematics | 7th Edition | ISBN: 9780495562023 | Authors: Douglas Smith, Maurice Eggen, Richard St. Andre

A Transition to Advanced Mathematics | 7th Edition

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Problem 6

Let be the set of all matrices with real entries. Define Det: byDet ca bc dd = ad bc.(a) Prove that Det: is operation preserving, wheredenotes with matrix multiplication.(b) Prove that Det: is not operation preserving, wheredenotes with matrix addition.

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L22 - 9 ex. The radius of a sphere is determined using an instrument with a possible error in measurement of at most 0.03in. If the instrument finds the radius of a sphere to be 12 inches, what is the maximum error that can occur in using that measurement to find the volume of the sphere ∆V Relative error: ≈ V Percentage error:

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Chapter 6.4, Problem 6 is Solved
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Textbook: A Transition to Advanced Mathematics
Edition: 7
Author: Douglas Smith, Maurice Eggen, Richard St. Andre
ISBN: 9780495562023

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Let be the set of all matrices with real entries. Define Det: byDet ca bc dd = ad bc.(a)