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Berkeley
MATH 54 -
Math 54 Quiz 6
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University of California, Berkeley
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Math 54, Quiz 6 Section 108 GSI CarterName:1. Let B = {1, 1 + x, 1 + x + x2} and C = {x2, x + x2, 1 + x + x2} be two ordered bases for P2.(a) Let f(x) = 3 + 2x − x2. Find [f]Band [f]C.(b) Find the transition matrix from B to C.12. Determine whether T : R3→ R2defined byT (x, y, z) = (1, x − y + 2z)is a linear transformation. If it is, find the matrix representing it (relative to the standard bases). Ifnot, explain
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