Let T: \mathbb{R}^2 \to \mathbb{R}^2 be a linear transformation such that T $(x_1, x_2) = (x_1 + x_2, 4x_1 + 6x_2)$. Find $x$ such that T(x) = (1, -4).
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Step 1: We are given that T(x) = (1, -4) and T(x<sub>1</sub>,x<sub>2</sub>) = (x<sub>1</sub>+x<sub>2</sub>, 4x<sub>1</sub> + 6x<sub>2</sub>). Show more…
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