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For a vector z R³ let T(r) be the projection of the vector onto the line that goes through the origin and the point (1.3.4). Show that 7 is a linear transformation from R³ to R³. Find the standard matrix (with respect to the standard basis) A of T.

For a vector z R³ let T(r) be the projection of the vector onto the line that goes through the origin and the point (1.3.4). Show that 7 is a linear transformation from R³ to R³. Find the standard matrix (with respect to the standard basis) A of T.

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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For a vector z R³ iet T(r) be the projection of the vector onto the line that goes through the origin and the point (1.3.4). Show that T is a linear transformation from R³ to R¹. . Find the standard matrix (with respect to the standard basis) A of T.
Transcribed Image Text:For a vector z R³ iet T(r) be the projection of the vector onto the line that goes through the origin and the point (1.3.4). Show that T is a linear transformation from R³ to R¹. . Find the standard matrix (with respect to the standard basis) A of T.
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