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Consider the vector x = (3, 11). a) What is the vector representation of x using...

Consider the vector x = (3, 11).
a) What is the vector representation of x using the base B1 = {(1, −1), (1, 1)}.
b) What is the vector representation of x using the base B2 = {(1, 1), (0, 2)}.
c) Construct a linear mapping from base B1 to base B2 (Find the
matrix P^−1 associated with mapping).
d) Verify that P^−1 x, where x is the vector representation of part a).
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