Section 4.3

1. Linearly dependent
2. Linearly dependent
3. Linearly dependent
4. Linearly dependent
5. Linearly dependent
6. Linearly dependent
7. Linearly dependent
8. Linearly dependent
9. $w = 2 v_{1} - 3 v_{2}$ $w = 2 v_{1} - 3 v_{2}$
10. $w = 7 v_{1} + 4 v_{2}$ $w = 7 v_{1} + 4 v_{2}$
11. $w = v_{1} - 2 v_{2}$ $w = v_{1} - 2 v_{2}$
12. $w = 2 v_{1} + 5 v_{2}$ $w = 2 v_{1} + 5 v_{2}$
13. w cannot be expressed as a linear combination of $v_{1}$ $v_{1}$ and $v_{2}$ $v_{2}$
14. w cannot be expressed as a linear combination of $v_{1}, v_{2}$ $v_{1}, v_{2}$ and $v_{3}$ $v_{3}$
15. $w = 3 v_{1} - 2 v_{2} + 4 v_{3}$ $w = 3 v_{1} - 2 v_{2} + 4 v_{3}$
16. $w = 6 v_{1} - 2 v_{2} + 3 v_{3}$ $w = 6 v_{1} - 2 v_{2} + 3 v_{3}$
17. The vectors $v_{1}, v_{2}, v_{3}$ $v_{1}, v_{2}, v_{3}$ are linearly independent.
18. $3 v_{1} + v_{2} + 5 v_{3} = 0$ $3 v_{1} + v_{2} + 5 v_{3} = 0$
19. The vectors $v_{1}, v_{2}, v_{3}$ $v_{1}, v_{2}, v_{3}$ are linearly independent.
20. The vectors $v_{1}, v_{2}, v_{3}$ $v_{1}, v_{2}, v_{3}$ are linearly independent.
21. $v_{1} - 2 v_{2} - v_{3} = 0$ $v_{1} - 2 v_{2} - v_{3} = 0$
22. $7 v_{1} + 5 v_{2} - 9 v_{3} = 0$ $7 v_{1} + 5 v_{2} - 9 v_{3} = 0$

..................Content has been hidden....................

You can't read the all page of ebook, please click here login for view all page.

Table of Contents for Section 4.3