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
.