Question: Consider a linear map T:U -> R 2 and u 1 , u 2 are elements of U. Given that T(u 1 )=(-3,6) T and

Consider a linear map T:U -> R² and u₁, u₂ are elements of U. Given that T(u₁)=(-3,6)^Tand T(u₂)=(5,-10)^T. Which of the following is mapped to (0,0)^T by T?

a.) 3u₁ + 5u₂

b.) 3u₁ + 5u₂

c.) 5u₁ + 3u₂

d.) 5u₁ - 3u₂

Please state and explain the logic in working.

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