We consider the linear transformation T : R3 ------ R 3 T(x,y,z) = ( x+2y-z, -x+y+2z, 3z) 1. Give the standard base B in R 3 2. Find the matrix A of T for the standard base 3. Let VB = [ −1 3 5 ] Find T(V)B

We consider the linear transformation T : R3 ------ R 3 T(x,y,z) = ( x+2y-z, -x+y+2z, 3z) 1. Give the standard base B in R 3 2. Find the matrix A of T for the standard base 3. Let VB = [ −1 3 5 ] Find T(V)B

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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Question

We consider the linear transformation T : R3
------ R
3
T(x,y,z) = ( x+2y-z, -x+y+2z, 3z)
1. Give the standard base B in R
3
2. Find the matrix A of T for the standard base
3. Let VB = [
−1
3
5
] Find T(V)B

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