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BSc IT Sem III ATKT 2014-15 LDMS ADD Question Paper - Mumbai University | munotes

ATKT Question Paper, 2014.pdf
SEM III · 1.8 MB · 1 May 2025

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Questions asked in this paper

Solve the following (An
G ad—be w.r.t to usual
multiplication of Matrices
Let (G*) and the tw
and F:G > beh hism then prove
that f(e) = e homomorphism then p
of G. with Kernel k then prove that K is normal subgroup
a,b R then Ris ring with respect to addition
a6. solve the (Any Two) (10)
a) using mathematical Induction show that
b) show that (p Ar) with truth table and define Converse,
Contrapositive and Inverse
c) B, C be any three sets then prove that (A \B) x C = (AX
d) Define Sets and its types with suitable example and explain set identities
Solve the following (Any Two) (15)
a) Find solution of R.R — + 2a, = =1and a, = —4
b) Let A = {a,b,c} determine whether the relation R whose matrix Mais given is an
List the ordered pairs in the relation R from A = {0,1,2,3,4,5} to B = {0,1,2,3}
d) the following min spanning of tree by Prims algorithm and Krushical algorithm
To prove that with respect to addition is an abelian group
f) Proved by mathematical induction that if A; n-set then

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