0
votes
1answer
34 views

Points in intersection

Given a matrix[nrows][ncols], and suppose it represents a terrain, like: (0,0) (1,0) (2,0).. (0,1)..... or a cartesian plan... and I have 2 points, both choosen by the user... How can I know which ...
0
votes
1answer
116 views

Calculating a basis of vector space $U \cap V$

So I have two vector spaces: $ U := \langle(1,2,1,2), (1,2,3,3), (1,2,2,3)\rangle $ and $ V := \langle(2,0,2,1), (3,2,3,2), (0,4,0,1)\rangle $ I was able to calculate the base of both $U$ and $V$: $ ...
2
votes
1answer
3k views

Finding the line of intersection of 2 planes by row reducing the linear system matrix

Problem Statement: Find the plane that passes through the point (-1, 2, 1) and contains the line of intersection of the planes: $$x+y-z = 2$$ $$2x - y + 3z = 1$$ I understand there is a means of ...
1
vote
2answers
2k views

Calculate intersection of vector subspace by using gauss-algorithm

There are two vector subspaces in $R^4$. $U1 := [(3, 2, 2, 1), (3, 3, 2, 1), (2, 1, 2 ,1)]$, $U2 := [(1, 0, 4, 0), (2, 3, 2, 3), (1, 2, 0, 2)]$ My idea was to calculate the Intersection of those two ...
2
votes
0answers
536 views

Submatrix Notation

I'm looking through some computer science papers and I see some notation that I'm just not familiar with. Consider an 5 x 6 matrix $$G = \begin{pmatrix} a_{0,0} & a_{0,1} & ...