Grades
Kindergarten
1st
2nd
3rd
4th
5th
6th
7th
8th
9th
10th
11th
12th
Higher Ed
Adult Ed
Other
Subjects
ELA
Math
Science
Social Studies
Art
Computer Science
French
German
Music
Physical Education
Spanish
Other
Private Library
Team Premium
Linear Independence Check
starstarstarstarstarstarstarstarstarstar
by Doreen De Leon
| 2 Questions
Note from the author:
A quick quiz on linear independence.
1
1 pt
Is the set of vectors {(1, 2), (2, 4), (-3, 5)} linearly independent? Why or why not?
Yes, because the only way a(1,2)+b(2,4)+c(-3,5) = (0,0) is if a = b = 0.
Yes, because there are infinitely many solutions to the equation a(1,2)+b(2,4)+c(-3,5) = (0,0).
No, because the only way a(1,2)+b(2,4)+c(-3,5) = (0,0) is if a = b = 0.
No, because there are infinitely many solutions to the equation a(1,2)+b(2,4)+c(-3,5) = (0,0).
2
1 pt
Given a set of n functions on an interval I whose Wronskian is W(x), how do we determine if the functions are linearly independent on I?
If W(x)=0 for all x in I, then the functions are linearly independent.
If W(x) is not zero for any x in I, then the functions are linearly independent.
If W(x) is not zero for at least one x in I, then the functions are linearly independent.
Add to my formatives list