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GATE198813ic
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Verify whether the following mapping is a homomorphism. If so, determine its kernel.
$f(x)=x^3$, for all $x$ belonging to $G$.
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Dec 20, 2016
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Set Theory & Algebra
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GATE198813ib
Verify whether the following mapping is a homomorphism. If so, determine its kernel. $\bar{G}=G$
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Dec 20, 2016
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jothee
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gate1988
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GATE198813ia
Verify whether the following mapping is a homomorphism. If so, determine its kernel. $G$ is the group of non zero real numbers under multiplication.
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Dec 20, 2016
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Set Theory & Algebra
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jothee
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gate1988
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groups
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GATE198816i
Assume that the matrix $A$ given below, has factorization of the form $LU=PA$, where $L$ is lowertriangular with all diagonal elements equal to 1, $U$ is uppertriangular, and $P$ is a permutation matrix. For $A = \begin{bmatrix} 2 & 5 & 9 \\ 4 & 6 & 5 \\ 8 & 2 & 3 \end{bmatrix}$ Compute $L, U,$ and $P$ using Gaussian elimination with partial pivoting.
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Dec 20, 2016
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Linear Algebra
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GATE198815
Consider the DFA $M$ and NFA M2 as defined below. Let the language accepted by machine $M$ be $L$. What language machine M2 accepts, if $F2=A$ ? $F2=B$ ? $F2=C$ ? $F2=D$ ? $M=(Q, \Sigma, \delta, q_0, F)$ $M2=(Q2, \Sigma, \delta_2, q_{00}, F2)$ ... $D=\{\langle p, q, r \rangle \mid p \in Q; q \in F\}$
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Dec 20, 2016
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Theory of Computation
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GATE198813iii
Are the two diagraphs shown in the above figure isomorohic? Justify your answer.
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Dec 20, 2016
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Graph Theory
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jothee
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GATE198812iv
Select SNAME from S Where SNOin (select SNO from SP where PNOin (select PNO from P Where COLOUR='BLUE')) What relations are being used in the above SQL query? Given at least two attributes of each of these relations.
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Dec 20, 2016
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GATE198812iii
Describe the relational algebraic expression giving the relation returned by the following SQL query. Select SNAME from S Where SNOin (select SNO from SP where PNOin (select PNO from P Where COLOUR='BLUE'))
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Dec 20, 2016
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