23.The following problem illustrates a danger that occurs because of round-off error when nearly equal numbers are subtracted and the difference is then multiplied by a large number. Evaluate the quantity 1000⋅∣∣∣6.01018.042.0046.000∣∣∣1000·6.01018.0402.00416.000 in the following ways: a.First round each entry in the determinant to two digits.
23.The following problem illustrates a danger that occurs because of round-off error when nearly equal numbers are subtracted and the difference is then multiplied by a large number. Evaluate the quantity 1000⋅∣∣∣6.01018.042.0046.000∣∣∣1000·6.01018.0402.00416.000 in the following ways: a.First round each entry in the determinant to two digits.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 34E
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23.The following problem illustrates a danger that occurs because of round-off error when nearly equal numbers are subtracted and the difference is then multiplied by a large number. Evaluate the quantity
1000⋅∣∣∣6.01018.042.0046.000∣∣∣1000·6.01018.0402.00416.000
in the following ways:
a.First round each entry in the determinant to two digits.
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