050-2015

MO640 - Multiple-choice question

A possible value for the space V_*(.A.BC.) = {x | Bx = Cx} ∩ {x | Ax=Bx=Cx}^⊥ for the matrices below is:

A =

1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1

B =

0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0

C =

1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0

a) <[0 0 0 0]^t>
b) <[1 1 0 0]^t>
c) <[1 1 1 0]^t>
d) <[1 1 1 1]^t>
e) None of the above

Original idea by: Miriam Ito