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Image and kernel of iterated linear transformation intersect trivially
Thank you, Dick. I am kind of dumb, so it took me a while to see what you meant.- pugnet
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- Forum: Calculus and Beyond Homework Help
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Image and kernel of iterated linear transformation intersect trivially
Homework Statement Given a linear transformation f:V -> V on a finite-dimensional vector space V, show that there is a positive integer m such that im(f^m) and ker(f^m) intersect trivially. Homework Equations The Attempt at a Solution Observe that the image and kernel of a linear...- pugnet
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- Image Kernel Linear Linear transformation Transformation
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- Forum: Calculus and Beyond Homework Help