Find the nullity of T, if a. T: R5 R2 and rank(T) = 3. b. T: P3 P4 and rank(T) = 2. c. T: M3x1M1×3 and rank(T) = 0. d. T R R and rank (T) = 1. Determine whether the equation is linear? (you need to justify your answer) a. 2x-3y=4 b. 3x-4xy = 0 c. x² + y² = 4 d. cos(3)x+y=-15

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