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Consider at linear transformation T() = B¤, where B E R9X6, such that dim(im(B))= 3. What is dim( ker(B)) =?

Consider at linear transformation T() = B¤, where B E R9X6, such that dim(im(B))= 3. What is dim( ker(B)) =?

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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Consider at linear transformation T() = Ba, where B ERUX®, such that dim( im(B)) = %3D 3. What is dim( ker(B)) =? CL W ODO F3 F6 F7 F8 F4 & 2$ 4. 7 Y F G H . * CO
Transcribed Image Text:Consider at linear transformation T() = Ba, where B ERUX®, such that dim( im(B)) = %3D 3. What is dim( ker(B)) =? CL W ODO F3 F6 F7 F8 F4 & 2$ 4. 7 Y F G H . * CO
Consider at linear transformation T() = Cã, such that dim( im(C)) = 3, and dim( ker(C')) = 4. %3D %3D What can we say about (1) the number of rows of C, and (2) the number of columns of C ? W 吕口 F3 O00 O00 F4 F6 F7 F8 & 4 7 8 R T. Y U
Transcribed Image Text:Consider at linear transformation T() = Cã, such that dim( im(C)) = 3, and dim( ker(C')) = 4. %3D %3D What can we say about (1) the number of rows of C, and (2) the number of columns of C ? W 吕口 F3 O00 O00 F4 F6 F7 F8 & 4 7 8 R T. Y U
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