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Given: The following set of simultaneous equations using matrix inversion. Include 6X + 7Y+ 18Z = 12 2X + 12Z +9Y = 16 12Y - 7Z+ 7X = 23 Determine: The solution for X, Y and Z using matrix inversion.

Given: The following set of simultaneous equations using matrix inversion. Include 6X + 7Y+ 18Z = 12 2X + 12Z +9Y = 16 12Y - 7Z+ 7X = 23 Determine: The solution for X, Y and Z using matrix inversion.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 1: Given: g = 9.81 m/s² Radius of the Earth = 6370 km G = 6.67 x 10-11 N - m²/kg² Find: Mass of the Earth Problem 2: Given: The following set of simultaneous equations using matrix inversion. Include Determine: 6X + 7Y+ 18Z = 12 2X + 12Z +9Y = 16 12Y - 7Z+7X = 23 The solution for X, Y and Z using matrix inversion. Problem 3: Given: The same set of equations from problem 2 Determine: The solution for X, Y and Z by hand using Cramer's Rule.
Transcribed Image Text:Problem 1: Given: g = 9.81 m/s² Radius of the Earth = 6370 km G = 6.67 x 10-11 N - m²/kg² Find: Mass of the Earth Problem 2: Given: The following set of simultaneous equations using matrix inversion. Include Determine: 6X + 7Y+ 18Z = 12 2X + 12Z +9Y = 16 12Y - 7Z+7X = 23 The solution for X, Y and Z using matrix inversion. Problem 3: Given: The same set of equations from problem 2 Determine: The solution for X, Y and Z by hand using Cramer's Rule.
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