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I can't figure this out no matter how many times I try. Please can someone help me with this homework question?:

Let:

v1=[1]

[1]

[0]

[0]

v2=[1]

[0]

[1]

[0]

v3=[1]

[0]

[0]

[1]

v4=[1]

[1]

[1]

[1]

and let

V= Span{v1,v2,v3) intersection Span{v4}^perp

(sorry i don't know how to type the symbols for intersection and perpenducular)

In other words, V is the set of vectors x in the hyperplane Span{v1,v2,v3) which also satisfy the equation v4 ยท x = 0, i.e. x1+x2+x3+x4=0.

a) Find a matrix A such that V=N(A)

b) Find a matrix B such that V=C(B)

Thanks in advance!

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# Matrices hyperplane

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