Linear Algebra 7 | Examples for Subspaces

Subspaces - Examples with Solutions

Consider the following subspaces of R^2: U = Span{1,2} and W = ... | Filo

Which of the following subsets of R2 with the usual operations of vector addition and scalar multiplication are subspaces? (T indicates Transpose)a) W1 is the set of all vectors of the form [x y], where y ≤ 0.b) W2 is the set of all vectors of the form [x y], where x ≥ 0 and y ≤ 0.c) W3 is the set of all vectors of the form [x y], where x = 0 and y = 0.