[13Consider the matrix A = 46[79 + ε]a. Calculate the determinant of A by hand.b. Use Python to calculate the determinant of A for ε = +/- 10k for k= 5, 6, ..., 20. Do the258where & is a small number.computational results match the theoretical result? Why or why not?c. If 0 is the zero vector in three dimensions and is not 0, then how many solutions are there to Ax=E0? How many solutions are there to Ax = 0 if ε = 0? Explain.

Answered: Image /qna-images/answer/69503ba1-488e-4e2e-be25-6da66bbf72d9.jpg

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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