1
GATE CSE 2001
+1
-0.3
Consider the following statements:
S1: The sum of two singular n x n matrices may be non-singular
S2: The sum of two n x n non-singular matrices may be singular

Which of the following statements is correct?

A
S1 and S2 are both true
B
S1 is true, S2 is false
C
S1 is false, S2 is true
D
S1 and S2 are both false
2
GATE CSE 2000
+1
-0.3
The determinant of the matrix $$\left[ {\matrix{ 2 & 0 & 0 & 0 \cr 8 & 1 & 7 & 2 \cr 2 & 0 & 2 & 0 \cr 9 & 0 & 6 & 1 \cr } } \right]\,\,is$$\$
A
4
B
0
C
15
D
20
3
GATE CSE 2000
+1
-0.3
An $$n\,\, \times \,\,n$$ array v is defined as follows v[i, j] = i - j for all i, j, $$1\,\, \le \,\,i\,\, \le \,\,n,\,1\,\, \le \,\,j\,\, \le \,\,n$$ The sum of elements of the array v is
A
0
B
n - 1
C
$${n^2}\, - \,3n\, + \,2$$
D
$${n^2}\,(n\, + \,1)/2$$
4
GATE CSE 1998
+1
-0.3
Consider the following set a equations
x + 2y = 5
4x + 8y = 12
3x + 6y + 3z = 15 This set
A
has a unique solution
B
has no solutions
C
has finite number of solutions
D
has infinite number of solutions
GATE CSE Subjects
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
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