Question
1. Consider the vector u = (3, -5).
a) What is the vector representation of u using the base B1 = {(0, 1), (-2, 3)}.
b) Construct a linear mapping from base B1 to base B2 = {(2,1), (-1,1)} (Find the matrix P associated with the mapping P: B1 to B2).
c) Express the vector representation of u in the base B2, using P.

(21 puntos) Considere el vector ū=(3,-5) a) Cual es la representación vectorial de ū en la base B = {(0, 1), (-2,3)}. b) Cons
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Answer #1

I la U=(3,5) Ba{(0, 1), (~2,3)} so let 13.-5) = a(0, 1) + ß (-2,3) (3-5) =(-2B, 2+36) - - 28 = 3 = ß = -3/2 x* 38 = 5 2-4-5 xby Now to find matrix from B,={2011), (-2,3)} to B2 = {(2, 1), (2), 12} do it 12.19 210,1 +61-2,3) - 1211) = (-28, 2d3B) xd 3

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