Let T:R3 → R³ be a linear transformation such that T(1,0,0)=(4,–1,2) T(0,1,0)=(1,–2,3) , and T(0,0,1)=(2,–2,0) .what is T(1,–4,2) ? О (6, 1, -4) (6, -1, -4) О(4, 3, -10) (4, -13, 10)

Q: Let L : R → R² be a linear transformation such that L(1,0,0)") = (2, 2)", L((0, 2, 0)") (-3, –5)",…

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Q: Let T be a linear transformation from R2 into R² such that 7(1, 0) = (1, 1) and 7(0, 1) = (-1, 1).…

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Q: Let L: R³ P2 be the linear transformation (no need to verify) defined by 3b 3c Let B₁ = b (2a-1/2-)…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: ). Find T(1, 3) and 7(1, -5).

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Q: 22. Let T : R² → R³ be a linear transformation such that T(x1, x2) = (x1 – 2x2, –x1 + 3x2, 3x1 –…

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Q: Let T be a linear transformation from R² into R² such that 7(1, 0) = (1, 1) and 7(0, 1) = (-1, 1).…

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Q: Let T: R" → R" be a linear transformation such that 7(20, +30₂) = -50, +30, and 7(30₁ +50₂) = 30,…

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Q: Let T be a linear transformation from R2 into R2 such that T(1, 0) = (1, 1) and T(0, 1) = (-1, 1).…

A: Given: T:R2→R2 To find: T8,1,T-5,1

Q: Let T be a linear transformation from R2 into R2 such that T(1, 0) = (1, 1) and T(0, 1) = (-1, 1).…

A: A Linear transformation T is a function from one vector space to another vector space that has the…

Q: Suppose T is a linear transformation, where (4, – 3) (– 1, – 5) (- 1,5) (1, 0, 0) T(ü) T(7) T(w) %3D…

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Q: ppose that T : R² → R² is a linear transformation and that 7([일) -B] T and ar (H) nd T

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Q: find a linear transformation that T:R2 -> R3 T(1, 2) = (1, -1, 2) T(1, 3) = (3, 0, 1) T(1, 1) =…

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Q: Evaluate the following integral along the indicated curve Where c is: y = -x ^ 2 (parameterize it)

A: We will find out the required value.

Q: 6. Show that T is a linear transformation. T(x1, x2) = (2x2 – 3x1, x₁ - 4x2, 0, x₂).

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Q: Let T : P3 → P3 be the linear transformation such that T(-2?) = 3a? + 3æ, T(-0.5x + 3) = 3x² + 4x –…

A: Given- Let T : P3 → P3 be the linear transformation such that T-2x2 = 3x2 + 3x, T-0.5x + 3 = 3x2 +…

Q: Assume that T is a linear transformation and T(1,2,1)=(2,1,3), T(-1,2,3)=(1,1,3), 7(2,1,3)=(1,-1,3),…

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Q: Let T: R3 R3 be a linear transformation such that T(1,1,1) = (2,0,-1) T(О), -1,2)- (-3,2, -1)…

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Q: Let T be a linear transformation from R2 into R2 such that T(1, 0) = (1, 1) and T(0, 1) = (-1, 1).…

A: T(1,0) =(1,1) T(0,1) = (-1,1)

Q: Let T be a linear transformation from R2 into R2 such that T(1, 0) = (1, 1) and T(0, 1) = (-1, 1).…

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Q: Let T: R - R be a linear transformation such that T(1, 0, 0) - (2, -1, 4), T(0, 1, 0) - (1, -2, 3),…

A: Given that,

Q: = 7. Let T R2 R³ be a linear transformation with T(x1, x2) x2, 2x1 - 3x2). Can you find X = (x₁, x2)…

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Q: Let T be a linear transformation from R2 into R2 such that T(1, 0) = (1, 1) and T(0, 1) = (-1, 1).…

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Q: (1, 0, 0) (0, 1, 0) (0, 0, 1) T(u) T(5) T(w) (– 3, – 5) (- 5, – 3) = (- 2, 3) Find the following:…

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Q: Suppose T is a linear transformation, where (1, 0, 0) (0, 1, 0) (0, 0, 1) T(u) T(5) T(w) (– 3, – 5)…

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