I have to find a basis for the vector space spanned by these 3 column vectors:
[1;-1;2] [2;-3;2] and [1;-3;2]
I have written the vectors as rows of an array and solved as far as possible:
pivot rows are in bold and -1--> means add to -1*pivot row
1 -1 2|
2 -3 2| -2 -->
1 -3 2| -1 -->
-1 -2|
-2 -6| -2-->
0 0 -2
does this mean that one possible basis is: {[1;-2;2],[0;-1;-2],[0;0;-2]}?
Also does this mean that the dimension for the subspace is 3?