Answer to Question #349994 in Linear Algebra for peaceboy

Question

QUESTION 1. [34 MARKS] 1.1 Determine whether each of the following mappings T is linear, or not. Justify your answer.

(a) T: R² - R³, where T(z, y) = (3y, 2x, —y).

(b) T: P₁ - R², where T[p(x)] = [p(0), p(1)].

(c) T: R³ - R², where T(z, y,z) = (x+1,y+2).

Answer 1

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