Example I
(i) W = {
: a , b ∈ R } is a subspace of V.
CAUTION :
SOLUTION :
Examples
Notation: V stands for the vector space V ≡ M2x2 over R with standard operations, where M2x2 is the collection of 2x2 real matrices.
(i) W = {
Example II
(ii) W = {2x2 real matrices with integer entries} is not a subspace of V.
CAUTION :
SOLUTION :
