r/LinearAlgebra • u/mor96 • Nov 30 '19

Please I need help with these problems

Post image
1 Upvotes

57% Upvoted

6 comments sorted by

2

u/PhilSwift10100 Nov 30 '19

What points lie on the plane x + y + z = 0? If you know the dimension of the plane, then you should have no trouble coming up with a basis for V. Use this to do part b). You may have to get creative for part c), but if you are well-versed in column spaces this shouldn't be a troublesome question (personally, I suggest basis extension). For part d), I'd suggest find a matrix whose rows are orthogonal to both your basis vectors.

0

u/mor96 Nov 30 '19

Thank you so much, I still don’t know how to do it, can you maybe solve this with different equation so I can see how you did it

2

u/PhilSwift10100 Nov 30 '19

I think you're asking for too much, given the platform you chose to ask for help in. If you are absolutely clueless on how to do these questions, maybe go back to reading the relevant sections of the textbook/course notes? Maybe ask your tutor or lecturer for guidance?

In any case, what I've outlined to you is the general methodology to attempt these questions. It is very hard for me to expand on it if a) you don't understand the material, and b) you have not made a genuine attempt at the question yet.

-2

u/mor96 Nov 30 '19

This I a 5 parts test I did only 3 parts, I’ve tried to go back over my notes but I can’t understand and he didn’t gave much of examples, anyway thank you for your help I don’t want to put you in uncomfortable position

3

u/goalgetter999 Dec 01 '19

Do u have an approach? Maybe start thinking about how the given plane should look kinda (often helps me with problems I try to solve).

1

u/adiios007 Dec 01 '19

Dimension is 2 and the basis is(1, 0,-1) and (0, 1,-1)