By filtering the given vectors into a matrix we have
B =
B-1 =
Now the product B-1 B = I
Hence we see that the the rows of B-1 multiplied by the columns of B satisfy the condition for duality.
Hence, defining
= [1, -2, 1]
= [-1, 5, -2]
= [0, -2, 1]
form the dual basis for {v1, v2, v3} .
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