PAU Mathematics II (Galicia) Practice Questions - Galicia PAU Mathematics II (Matemáticas II - CIUG 2026) Exam

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According to the Rouché-Fröbenius theorem, a linear system with n unknowns A*X = B has a unique solution (compatible determinado) if and only if:

rank(A) = rank(A|B) = n rank(A) = rank(A|B) < n rank(A) != rank(A|B) rank(A) = n regardless of rank(A|B)

Correct Answer:

rank(A) = rank(A|B) = n

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