Discrete Math MCQ

Ques 1: Consider the following two statements with respect to the matrices Amxn, Bnxm,Cnxn and Dnxn GATE 2022 Q No 20 Statement 1: tr(AB) = tr(BA)Statement 2: tr(CD) = tr(DC)where tr() represents the trace of a matrix. Which one of the following holds? (A) Statement 1 is correct and Statement 2 is wrong. (B) Statement …

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Ques 1: Which one of the following is a closed form expression for the generating function of the sequence {an}, here an = 2n+3 for all n=0,1,2,…? GATE 2018 Q No 1 (A) 3/(1−x)2 (B) 3x/(1−x)2 (C) (2−x)/(1−x)2 (D) (3-x)/(1−x)2 Ans: (D) (3-x)/(1−x)2 Solution: Ques 2: Two people, P and Q, decide to independently roll two identical dice, each with 6 faces, numbered 1 to 6. …

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