Showing If f(f(x)) = 0 then the rank(f) is Smaller than n/2
In this exercise we have a given a linear transformation f with the only information that f(f(x)) is the zero vector. We need to show that the rank of f is smaller or equal than the dimension of the underlying vector space divided by two.
ā° Timeline 00:00 Exercise 00:27 Rank 00:43 f(f(x)) 01:50 Dimension formula 03:40 Conclusion
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