1

GATE CSE 2011

MCQ (Single Correct Answer)

+1

-0.3

$$K4$$ and $$Q3$$ are graphs with the following structures.

Which one of the following statements is **TRUE** in relation to these graphs?

2

GATE CSE 2011

MCQ (Single Correct Answer)

+2

-0.6

Four matrices $${M_1},\,\,\,{M_2},\,\,\,{M_3}$$ and $${M_4}$$ of dimensions $$p\,\,x\,\,q,\,\,\,\,\,q\,\,x\,\,e,\,\,\,\,\,r\,\,x\,\,s$$ and $$\,\,\,\,s\,\,x\,\,t$$ respectively can be multiplied in sevaral ways with different number of total scalar multiplications. For example when multiplied as $$\left( {\left( {{M_1}\,\,X\,\,{M_2}} \right)\,\,X\,\,\left( {{M_3}\,\,X\,\,{M_4}} \right)} \right)$$, the total number of scalar multiplications is $$\,\,\,\,$$$$pqr + rst + prt$$. When multiplied as $$\left( {\left( {\left( {{M_1}\,\,X\,\,{M_2}} \right)\,\,X\,\,{M_3}} \right)X\,\,{M_4}} \right)$$, the total number of scalar multiplications is $$pqr + prs + pst$$. If $$p = 10,\,\,q = 100,\,\,r = 20,\,\,s = 5,\,\,$$ and $$t = 80$$, then the minimum number of scalar multiplications needed is

3

GATE CSE 2011

MCQ (Single Correct Answer)

+2

-0.6

Consider the matrix as given below.
$$$\left[ {\matrix{
1 & 2 & 3 \cr
0 & 4 & 7 \cr
0 & 0 & 3 \cr
} } \right]$$$

Which of the following options provides the **Correct** values of the Eigen values of the matrix?

4

GATE CSE 2011

MCQ (Single Correct Answer)

+2

-0.6

$$\left[ A \right]$$ is a square matrix which is neither symmetric nor skew-symmetric and $${\left[ A \right]^T}$$ is its transpose. The sum and differences of these matrices and defined as $$\left[ S \right] = \left[ A \right] + {\left[ A \right]^T}$$ and $$\left[ D \right] = \left[ A \right] - {\left[ A \right]^T}$$ respectively. Which of the following statements is true?

Paper analysis

Total Questions

Algorithms

6

Compiler Design

1

Computer Networks

4

Computer Organization

5

Data Structures

2

Database Management System

4

Digital Logic

4

Discrete Mathematics

10

Operating Systems

5

Programming Languages

3

Software Engineering

4

Theory of Computation

4

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