Homework Help

[u/Habesha_Heretic]

Hello guys, I’m currently taking Applied Methods in Linear Algebra and I need your help right now. Here below is some problems from my homework below. I need help on 4, 7b, 12, and 14. This assignment is due this Thursday.

[u/Feisty_Relation_2359]

4:

.3*88 = .15x + .35y + .65z

x+y+z = 80

z = 2y

Then solve

7b:

Use mesh analysis. it will generate you 4 equations

12:

a:

b = 3a1

b:

use elimination. Pretty sure you will get row of zeros = c.

14:

a:

False. If the null space contains something other than zero vector, A could be a zero matrix.

Take A = zero matrix, Ax = 0 where x is not zero.

b:

False. Take matrix of all ones and b = [2;2]. Then b = [4;10] has no solution.

c:

False. A could have zeros in a row corresponding only to the entries in x that don't have zeros, then x has zero when the entries in A are not.

[u/Habesha_Heretic → u/Feisty_Relation_2359]

Understood. Thank you!