Let
{v_(1),v_(2),v_(3),v_(4)}be an orthonormal basis of
V=R^(4)and let
W=
{winV:w*v_(1)=0}Find the correct statement. (a)
{v_(1),v_(2),v_(3),v_(4)+v_(1)}is an orthonormal basis of
V. (b)
dimW=3. (c)
{v_(2),v_(3),v_(4)+v_(1)}is a basis of
W. (d)
v_(1)inW.