Let T be a linear transformation from R³ into R³. Find T- T(x 1,X2,X3) = (x1 +X2 = X3, X1+ 2X2 +X3, X1+3X2+2X3) T(x uXzuKq) = =(2x1+X2-X3, -3x1+6X3-X3, -x;+2x2=2xg) a. b. T(x1,X2,X3) = (- 1×1+5x2-3x3,X1-3x2+2X3, -X1+2x2-X3) c. T(x1,X2,X3) = (2×1+ X2 - 2×3, X2- X3 , -X1 +X3) d. T(x1,X2,X3)= (4×1-2x2-X3, X1-X2, -3×1+2X2 +X3) e. T(x1,X2,X3) = (-x1+3x2+3X3, -3x1-X2+4X3, 2×1–X2 = X3)
Let T be a linear transformation from R³ into R³. Find T- T(x 1,X2,X3) = (x1 +X2 = X3, X1+ 2X2 +X3, X1+3X2+2X3) T(x uXzuKq) = =(2x1+X2-X3, -3x1+6X3-X3, -x;+2x2=2xg) a. b. T(x1,X2,X3) = (- 1×1+5x2-3x3,X1-3x2+2X3, -X1+2x2-X3) c. T(x1,X2,X3) = (2×1+ X2 - 2×3, X2- X3 , -X1 +X3) d. T(x1,X2,X3)= (4×1-2x2-X3, X1-X2, -3×1+2X2 +X3) e. T(x1,X2,X3) = (-x1+3x2+3X3, -3x1-X2+4X3, 2×1–X2 = X3)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let T be a linear transformation from R³ into R. Find T-
T(x 1,X2,X3) = (x1 +x2 - X3, X1 + 2×2 + X3, X1+3x2+2x3)
a. T(x1,X2,X3)= (2x1+X2= X3 , -3x1+6X2-X3, - X1+2X2-2X3)
b. T(x1,X2,X3)=(-1x1+5x2-3x3, X1-3X2+2x3, - X1+2X2- X3)
c. T(x1,X2,×3)= (2×1+X2 - 2×3, X2- X3 , - X1 + X3)
d. T(x1,X2,X3)= (4x1-2x2-X3, X1- X2 , - 3X1+2x2 +X3)
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e. T(x1,X2,X3) = (-x1+3x2+3x3, -3x1-X2+4X3, 2x1-X2-X3)
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