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3. Define the following formal linear transformations... A: R' →R'= A(x, y, z) = (x+y+z, x-2y, y+2z) B: R' → R= B(x, y, z) = (2x +2z, x-y) C: R' →R = C(x, y) = (-2x +2y, –3x-y) D: R > R' = D(x, y) = (x+y, y, -x)

3. Define the following formal linear transformations... A: R' →R'= A(x, y, z) = (x+y+z, x-2y, y+2z) B: R' → R= B(x, y, z) = (2x +2z, x-y) C: R' →R = C(x, y) = (-2x +2y, –3x-y) D: R > R' = D(x, y) = (x+y, y, -x)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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3. Define the following formal linear transformations... A: R' → R' = A(x, y, z) = (x+y+z, x-2y, y+2z) B: R' → R = B(x, y, z) = (2x +2z, x-y) C: R' > R = C(x, y) = (-2x +2y, -3x-y) D: R → R' = D(x, y) = (r+y, y, -x) %3D a. Write the matrices which represent each of the four linear transformations above. b. Write the matrix which represents the transform E = BD.
Transcribed Image Text:3. Define the following formal linear transformations... A: R' → R' = A(x, y, z) = (x+y+z, x-2y, y+2z) B: R' → R = B(x, y, z) = (2x +2z, x-y) C: R' > R = C(x, y) = (-2x +2y, -3x-y) D: R → R' = D(x, y) = (r+y, y, -x) %3D a. Write the matrices which represent each of the four linear transformations above. b. Write the matrix which represents the transform E = BD.
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