Are the following statements true or false? + 1. The set (0) forms a basis for the zero subspace. + 2. If Si is of dimension 3 and is a subspace of R*, then there can not exist a subspaceS2 of Rª such...

Extracted text: Are the following statements true or false? + 1. The set (0) forms a basis for the zero subspace. + 2. If Si is of dimension 3 and is a subspace of R*, then there can not exist a subspaceS2 of Rª such that Si C S2 C Rª with S1 # S2 and S2# R*. 3. Let m > n. Then U = {u], un. ...,Um) in R" can form a basis for R" if the correct m –n vectors are removed from U. + 4. Let m < n.="" then="" u="{u],u2" ...="" ,="" um="" in="" r"="" can="" form="" a="" basis="" for="" r"="" if="" the="" correct="" n="" –="" m="" vectors="" are="" added="" to="" u.="" +="" 5.="" r"="" has="" exactly="" one="" subspace="" of="" dimension="" m="" for="" each="" of="" m="0," 1,2,="" ...="" ,="" n="">