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After processing some images in a two-day experiment, a lab technician realises that all the images have been distorted through the cameras in the experiment. On the first day all the pixel positions were changed through the linear transformation L : R? → R², L(x1,x2) (x1 + 2x2, 2x1 + x2) and on the second day, the resulting images were again changed through the linear transformation S: R? → R², S(x1,¤2) = (1, x2). If the area of an image after processing is 27cm?, what was the original area of the image?

After processing some images in a two-day experiment, a lab technician realises that all the images have been distorted through the cameras in the experiment. On the first day all the pixel positions were changed through the linear transformation L : R? → R², L(x1,x2) (x1 + 2x2, 2x1 + x2) and on the second day, the resulting images were again changed through the linear transformation S: R? → R², S(x1,¤2) = (1, x2). If the area of an image after processing is 27cm?, what was the original area of the image?

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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After processing some images in a two-day experiment, a lab technician realises that all the images have been distorted through the cameras in the experiment. On the first day all the pixel positions were changed through the linear transformation L : R? → (x1 + 2x2, 2x1 + x2) and on the second day, the resulting images were again changed through the linear transformation S: R? → R², S(x1,¤2) = (1, x2). R?, L(r1,x2) If the area of an image after processing is 27cm?, what was the original area of the image?
Transcribed Image Text:After processing some images in a two-day experiment, a lab technician realises that all the images have been distorted through the cameras in the experiment. On the first day all the pixel positions were changed through the linear transformation L : R? → (x1 + 2x2, 2x1 + x2) and on the second day, the resulting images were again changed through the linear transformation S: R? → R², S(x1,¤2) = (1, x2). R?, L(r1,x2) If the area of an image after processing is 27cm?, what was the original area of the image?
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