1
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
If matrix $$X = \left[ {\matrix{
a & 1 \cr
{ - {a^2} + a - 1} & {1 - a} \cr
} } \right]$$
and $${X^2} - X + 1 = 0$$
($${\rm I}$$ is the identity matrix and $$O$$ is the zero matrix), then the inverse of $$X$$ is
and $${X^2} - X + 1 = 0$$
($${\rm I}$$ is the identity matrix and $$O$$ is the zero matrix), then the inverse of $$X$$ is
2
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
Let $$A$$ be and n$$ \times $$n matrix of the folowing form.
![GATE CSE 2004 Discrete Mathematics - Linear Algebra Question 63 English](https://imagex.cdn.examgoal.net/KUgyBipgUHNBIiJSU/eQM4X2OrNNH0Fbm6dzuqp8rzfADLy/5b7gU86SCqdIsYDT74wkkl/uploadfile.jpg)
What is the value of the determinant of $$A$$?
3
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
How many graphs on $$n$$ labeled vertices exist which have at least $$\left( {{n^2} - 3n} \right)/2\,\,\,$$ edges?
4
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
Let $${G_1} = \left( {V,\,{E_1}} \right)$$ and $${G_2} = \left( {V,\,{E_2}} \right)$$ be connected graphs on the same vertex set $$V$$ with more than two vertices. If $${G_1} \cap {G_2} = \left( {V,{E_1} \cap {E_2}} \right)$$ is not a connected graph, then the graph $${G_1} \cup {G_2} = \left( {V,{E_1} \cup {E_2}} \right)$$
Paper analysis
Total Questions
Algorithms
9
Compiler Design
3
Computer Networks
9
Computer Organization
11
Data Structures
14
Database Management System
13
Digital Logic
8
Discrete Mathematics
30
Operating Systems
7
Programming Languages
6
Theory of Computation
5
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