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Get Full Access to A Transition To Advanced Mathematics - 7 Edition - Chapter 6.4 - Problem 6
Get Full Access to A Transition To Advanced Mathematics - 7 Edition - Chapter 6.4 - Problem 6

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# Let be the set of all matrices with real entries. Define Det: byDet ca bc dd = ad bc.(a) ISBN: 9780495562023 335

## Solution for problem 6 Chapter 6.4

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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##### ISBN: 9780495562023

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