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c. Find all the points X1 x2 in R3 [x3. that are transformed to Explain.

c. Find all the points X1 x2 in R3 [x3. that are transformed to Explain.

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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c. Find all the points X1 x2 in R3 X3 that are transformed to . Explain.
Transcribed Image Text:c. Find all the points X1 x2 in R3 X3 that are transformed to . Explain.
42. When you represent a three-dimensional object graphi- cally in the plane (on paper, the blackboard, or a com- puter screen), you have to transform spatial coordinates, X1 x2 |x3 into plane coordinates, The simplest choice is a linear transformation, for example, the one given by the matrix 1 a. Use this transformation to represent the unit cube with corner points Include the images of the x1, x2, and x3 axes in your sketch: y2 1 yi 1 -1 1 b. Represent the image of the point | in your fig- ure in part (a). (part c on next page) - -N -IN
Transcribed Image Text:42. When you represent a three-dimensional object graphi- cally in the plane (on paper, the blackboard, or a com- puter screen), you have to transform spatial coordinates, X1 x2 |x3 into plane coordinates, The simplest choice is a linear transformation, for example, the one given by the matrix 1 a. Use this transformation to represent the unit cube with corner points Include the images of the x1, x2, and x3 axes in your sketch: y2 1 yi 1 -1 1 b. Represent the image of the point | in your fig- ure in part (a). (part c on next page) - -N -IN
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