2
votes
1answer
1k 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 ...
0
votes
2answers
860 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
221 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} & ...