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)

Consider a linear map T:U -> R² and u₁, u₂ are elements of U. Given that T(u₁) =(-3,6)^T and 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 explain clearly how this is done. Regards.

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