Define T: R² → R³ by T() = A, where A =this transformation?-23.1-3. What is the image of uunder4-3 -5

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Answered: Define T: R² → R³ by T() = A, where A =…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...

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Let T be a linear transformation from R³ into R³. Find T-1 T(X1₂X2₂X3)=(X₁ + X3, X₁−X₂ + X3, X₁ + 2x₂ + 2x3) a. T(×₁,×2,×3)=—=—(2×₁+x₂−X3₁ −3×₁+6×₂-X3₁ −X₁+2x₂-2x3) b. T(x1x₂x3) = (2x₁ + x₂-2X3, X₂ X3, X1 + X3) X1 + X3) c. T(x1,x2x3) = (2x₁ + x₂ -2X3, X₂ X3 d. T(x₁,x₂,X3)= (4x₁-2×₂-X3, X₁-X₂, 3X₁ + 2x₂ + x3) T(X1₁X₁₁X3)= (-X₁+3x₂ + 3x3, −3x₁-x₂ + 4x3,2x₁ −x₂ −X3)
Let T be a linear transformation from R³ into R³. Find T-1 T(x1x₂x3) = (2x1-X3, X₁ + X₂ X3, X2-3X3) T(X₁₁X₁₁X3) = (2x₁+x₂ −X3, −3x₁+6x₂−x3, −X₁+2×₂-2x3) b. T(x1x2x3) = (2x₁ + x₂ -2X3, X₂-X3, X1 + X3) c. T(x₁,x₂₁x3) = (2x₁ + x₂ -2X3, X₂-X3, -X₁ + X3) d. T(x1,x2x3) = (4x₁-2×₂-X3, X₁-X₂, −3x₁+2x₂ + x3) T(X₁, X₂2₁×3) = (-x₁ + 3x₂ + 3x3, −3x₁-x₂ + 4x3,2x₁ − ×2 −X3) a. e.
Suppose that -3 1 -1 -3 A 2 1 -6 2 1 Use this information to describe the transformation T(x) = Ax geometrically. - No text entered -

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Define T: R² → R³ by T() = A, where A = this transformation? -2 3. 1 -3. What is the image of u under 4 -3 -5