Question: Let Îµ = {e1, e2, e3} be the standard basis for R3, let B = {b1, b2, b3} be a basis for a vector space

Let Îµ = {e1, e2, e3} be the standard basis for R3, let B = {b1, b2, b3} be a basis for a vector space V, and let T: R3 †’ V be a linear transformation with the property that

a. Compute T(e1), T(e2), and T(e3).
b. Compute [T(e1)]B, [T(e2)B, and [T(e3)B.
c. Find the matrix for T relative to £ and 13.

T(x1.X2, X3) = (2x3 X2)b1 (2x,)b, + (x1 + 3x3)b; %3!

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