Q35·Section II (Mathematics)·35 of 84If AAA kills no non-zero matrix from the left, AAA has trivial kernelWhich of the following is true? OptionsAThe ring of polynomials over a ring is an integral domainBThe ring of n×nn\times nn×n matrices over a field is an integral domainCIf in the ring Mn(F)M_n(F)Mn(F) of n×nn\times nn×n matrices over a field F, A is a matrix such that AB≠0AB\ne0AB=0 for every B(≠0)∈Mn(F)B(\ne0)\in M_n(F)B(=0)∈Mn(F), then A is invertibleDIf in the ring of polynomials over a ring R we have a polynomial f(x)f(x)f(x) such that f(α)=0f(\alpha)=0f(α)=0 for every α∈R\alpha\in Rα∈R then f≡0f\equiv0f≡0 polynomialPick an option to check your answer.Show answerShow solution Report a problem with this question← Q34All questionsQ36 →Keyboard: A–D answer · S solution · ←/→ previous/next