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Given the linear transformation: T(x,y,z) = (3y-x, 3x+4y) calculate the image of (-2, 3, 5). O a. (11,6) O b. (11,6, 5) O c. (-9,6) O d. (-9,6,5) O e. none of these Given the linear transformation: T(x,y,z) = (3y-x, 3x+4y) calculate the preimage of (7,5). O a. (-1,2) O b. (-1,2,t) OC. (8,41) O d. (8,41, t) e. none of these Given the linear transformation: T(x,y,z) = (3y-x, 3x+4y) determine the kernel of the transformation. O a. R² O b. R³ O c. (0,0) O d. (0,0,1) O e. none of these

Given the linear transformation: T(x,y,z) = (3y-x, 3x+4y) calculate the image of (-2, 3, 5). O a. (11,6) O b. (11,6, 5) O c. (-9,6) O d. (-9,6,5) O e. none of these Given the linear transformation: T(x,y,z) = (3y-x, 3x+4y) calculate the preimage of (7,5). O a. (-1,2) O b. (-1,2,t) OC. (8,41) O d. (8,41, t) e. none of these Given the linear transformation: T(x,y,z) = (3y-x, 3x+4y) determine the kernel of the transformation. O a. R² O b. R³ O c. (0,0) O d. (0,0,1) O e. none of these

Advanced Engineering Mathematics
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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Given the linear transformation: T(x,y,z) calculate the image of (-2, 3, 5). O a. (11,6) O b. (11,6, 5) O c. (-9,6) O d. (-9,6,5) e. none of these O C. (8,41) O d. (8,41, t) Given the linear transformation: T(x,y,z) = (3y-x, 3x+4y) calculate the preimage of (7,5). O a. (-1,2) O b. (-1,2, t) e. none of these = (3y-x, 3x+4y) e. none of these Given the linear transformation: T(x,y,z) = (3y-x, 3x+4y) determine the kernel of the transformation. O a. R² O b. R³ O c. (0,0) O d. (0,0, t)
Transcribed Image Text:Given the linear transformation: T(x,y,z) calculate the image of (-2, 3, 5). O a. (11,6) O b. (11,6, 5) O c. (-9,6) O d. (-9,6,5) e. none of these O C. (8,41) O d. (8,41, t) Given the linear transformation: T(x,y,z) = (3y-x, 3x+4y) calculate the preimage of (7,5). O a. (-1,2) O b. (-1,2, t) e. none of these = (3y-x, 3x+4y) e. none of these Given the linear transformation: T(x,y,z) = (3y-x, 3x+4y) determine the kernel of the transformation. O a. R² O b. R³ O c. (0,0) O d. (0,0, t)
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