4.1 a) Find a basis for all polynomials p in F such that p(1) = 0. b) Find a basis for all 2x2 matrices A such that det(A - 4I) = 0.
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One way to do this is to use the factor theorem, which states that if p(l) = 0, then (x-l) is a factor of p(x). Show more…
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