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.

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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[1
3
Consider the matrix A = 4
6
[7
9 + 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 the
2
5
8
where & 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=
E
0? How many solutions are there to Ax = 0 if ε = 0? Explain.
Transcribed Image Text:[1 3 Consider the matrix A = 4 6 [7 9 + 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 the 2 5 8 where & 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= E 0? How many solutions are there to Ax = 0 if ε = 0? Explain.
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