Let T be a linear transformation from R³ into R³. Find T-1 T(X1₁X₂₁X3) = (X₁ + X3, X₁ −X₂ + X3, X₁ + 2x₂+2x3) a. b. T(X₁,×2,×3)=—=—(2×₁+X2−X×3₁ −3×₁+6×₂-X3₁ −X₁+2×₂-2x3) T(x₁1x₂x3) = (2x₁ + x₂-2X3, X₂-X3, c. T(x1x₂x3) = (2x₁ + x₂-2X3, X₂ X3 d. T(x1,x2x3) = (4x₁-2x₂-X3, X₁-X₂, X₁ + X3) X₁ + X3) 1 3X₁ + 2x₂ + x3) e. T(×₁,×2,×3)==-(-x₁+3x₂+3x3, −3x₁-x₂ + 4x3,2x₁-x₂ −X3)
Let T be a linear transformation from R³ into R³. Find T-1 T(X1₁X₂₁X3) = (X₁ + X3, X₁ −X₂ + X3, X₁ + 2x₂+2x3) a. b. T(X₁,×2,×3)=—=—(2×₁+X2−X×3₁ −3×₁+6×₂-X3₁ −X₁+2×₂-2x3) T(x₁1x₂x3) = (2x₁ + x₂-2X3, X₂-X3, c. T(x1x₂x3) = (2x₁ + x₂-2X3, X₂ X3 d. T(x1,x2x3) = (4x₁-2x₂-X3, X₁-X₂, X₁ + X3) X₁ + X3) 1 3X₁ + 2x₂ + x3) e. T(×₁,×2,×3)==-(-x₁+3x₂+3x3, −3x₁-x₂ + 4x3,2x₁-x₂ −X3)
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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