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Given the matrix A, considering the bases β = {(1,0),(0,1)} of R2 and β' = {(1,0,0),(0,1,0),(0,0,1)} of R3, then the associated linear transformation TA  Choose an option: (a) goes from R3 to R2 and is given by TA (x, y, z) = (x + y + 2z, 3x + 5y + 8z) (b) goes from R2 to R3 and is given by TA (x, y) = (x + 2y, 5x + 8y, 3z) (c) goes from R3 to R2 and is given by TA (x, y, z) = (x + y + 2z, 8x + 3y + 5z) (d) goes from R2 to R3 and is given by TA (x, y) = (2x + y, 8x + 5y, 3z) (e) goes from R3 to R2 and is given by TA (x, y, z) = (3x + 5y + 8z, x + y + 2z)

Given the matrix A, considering the bases β = {(1,0),(0,1)} of R2 and β' = {(1,0,0),(0,1,0),(0,0,1)} of R3, then the associated linear transformation TA  Choose an option: (a) goes from R3 to R2 and is given by TA (x, y, z) = (x + y + 2z, 3x + 5y + 8z) (b) goes from R2 to R3 and is given by TA (x, y) = (x + 2y, 5x + 8y, 3z) (c) goes from R3 to R2 and is given by TA (x, y, z) = (x + y + 2z, 8x + 3y + 5z) (d) goes from R2 to R3 and is given by TA (x, y) = (2x + y, 8x + 5y, 3z) (e) goes from R3 to R2 and is given by TA (x, y, z) = (3x + 5y + 8z, x + y + 2z)

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 matrix A, considering the bases β = {(1,0),(0,1)} of R2 and β' = {(1,0,0),(0,1,0),(0,0,1)} of R3, then the associated linear transformation TA 

Choose an option:

(a) goes from R3 to R2 and is given by TA (x, y, z) = (x + y + 2z, 3x + 5y + 8z)

(b) goes from R2 to R3 and is given by TA (x, y) = (x + 2y, 5x + 8y, 3z)

(c) goes from R3 to R2 and is given by TA (x, y, z) = (x + y + 2z, 8x + 3y + 5z)

(d) goes from R2 to R3 and is given by TA (x, y) = (2x + y, 8x + 5y, 3z)

(e) goes from R3 to R2 and is given by TA (x, y, z) = (3x + 5y + 8z, x + y + 2z)

 

 

 

[1 1 2] A : 3 5 8
Transcribed Image Text:[1 1 2] A : 3 5 8
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