Recent content by appletree23

I reached my conclusion based on a similar problem I found on the internett: Where the solution is given as: I was only asking because I was curious about the equality between ##col A## and ##H## and what that have to mean.

I have not thought about that before; that a set of vectors that contains one or more zero vectors cannot be linearly independent. For the definition of col A, my book says this: "The column space of a ##m\times n## matrix ##A##, written as ##Col A##, is the set if all linear combinations of...

English is not my native language, so I'm sorry that I'm sloppy with my wording some times. I will try to explain what I mean a little bit better (at least try). Yes, I know this and should rather used the word "a" instead of "the" when I wrote that sentence. So I can try to write the...

Okay, I think I understand problem 2 now. Thank your for your help! :smile:

So I have been thinking about what you wrote here and maybe I understand it a little bit better (not sure by the way). So let us say that we have the subspace ##H## that is the subspace of ##R^6## (##n=6##) If ##H## for example is defined by the set of vectors ##({x_1,x_2,x_3,x_4,x_5,x_6})##...

Hmm, so you mean that I should use the three properties to determine if this statement is true or not? Thanks for your definition of col (A) by the way :)

Hmm, I'm not sure what you mean. How can one take a basis for H if I don't know what H it is the subspace of? If it is the subspace if ##R^3## or ##R^4## for example? And how can I choose a basis for H if I don't have any specific set of vectors that span H? I'm sorry, I do not understand...

So the reason why I'm struggling with both of the problems is because I find vector spaces and subspaces hard to understand. I have read a lot, but I'm still confussed about these tasks. 1. So for problem 1, I can first tell you what I know about subspaces. I understand that a subspace is a...

@berkeman . Do you have any suggestions regarding the first task?

The code for the first task: # make a model with annual cycle def Temperature_Cycles(t, amplitude, period): # amplitude - is the amplitude of a cycle # period - is the period of a cycle (in years) tc = amplitude * np.sin(t*period*2*np.pi/12) return tc # the model function def...

Ok, I will do that and post the individual codes right away. I'm not able to edit my orginal post, so I have to post the code under here

I'm given this code to plot the system for task 1 where my teacher have used some random numbers just to show us how the code can be used: The code makes a plot that is given below: So my professor just gave us this code and plot without saying anything more. All the students in the class...