*4. Determine whether each of the following functions is a linear transformation. If so, provide a proof; if not, explain why. X1 +2x2 X1 +2x2 а. Т b. T X2 X2

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A: domain of dimension = 4

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A: Given: A=-11801111-1, B=101-118018

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A: Given:T:ℝ2→ℝ2 is defined by Tx=AxWhere A=-3-3-1-5To find basis B for ℝ2 such that TB is diagonal.…

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A: Given : Linear transformation T :ℝ2→ℝ3 such that Tx, y=x+y, x, y, v=9, 3, B=1, -1, 0, 1 and  B'=1,…

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Q: 1. Suppose that T : R³ R? is a linear transformation and that 2 T and T 2 1 Compute T 2 and T

A: The solution is given as