Let -9 D 1.7₁ and Y2 -3 -12] and let T: R² R² be a linear transformation that maps ₁ to ₁ and maps 2 to 2. a. Find the image of ([₁]) T e₁ = T([1]) = b. Find the image of = 5 [₂]. x2 e₂ = -31

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A: The solution is given by using rank nullity theorem and null space as follows :

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