(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove for each square matrix B there is a real polynomial p(x) (not the zero polynomial) so p(B)=0

2. Relevant equations

Rank-nullity? dimv = r(T) + n(T)

3. The attempt at a solution

I've found the dimension for nxn square matrices (n²) and a basis (1 in one place and zero in the rest for each place in the matrix) but I don't really know where to go from here. Any ideas would be great :) thanks.

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# Homework Help: Linear algebra - matrices and polynomials

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