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(Solved): 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 th ...



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

.



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