a. Calculate the determinant of A by hand. b. Use Python to calculate the determinant of A for ε = +/- 10% for k= 5, 6, ..., 20. Do the computational results match the theoretical result? Why or why not? c. If 0 is the zero vector in three dimensions and ɛ is not 0, then how many solutions are there to Ax= 0? How many solutions are there to Ax = 0 if ε = 0? Explain.
a. Calculate the determinant of A by hand. b. Use Python to calculate the determinant of A for ε = +/- 10% for k= 5, 6, ..., 20. Do the computational results match the theoretical result? Why or why not? c. If 0 is the zero vector in three dimensions and ɛ is not 0, then how many solutions are there to Ax= 0? How many solutions are there to Ax = 0 if ε = 0? Explain.
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 18E
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