13. Is the following proposition true or false? Justify your conclusion with a proof or a counterexample. If f WS !T isasurjection and C T,then f f 1.C/ D C.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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13. Is the following proposition true or false? Justify your conclusion with a
 proof or a counterexample.
 If f WS !T isasurjection and C T,then f f 1.C/ D C.

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