1
GATE CSE 2004
MCQ (Single Correct Answer)
+1
-0.3
What values of x, y and z satisfy the following system of linear equations? $$$\left[ {\matrix{ 1 & 2 & 3 \cr 1 & 3 & 4 \cr 2 & 3 & 3 \cr } } \right]\,\,\left[ {\matrix{ x \cr y \cr z \cr } } \right]\,\, = \,\left[ {\matrix{ 6 \cr 8 \cr {12} \cr } } \right]$$$
A
x = 6, y = 3, z = 2
B
x = 12, y = 3, z = - 4
C
x = 6, y = 6, z = - 4
D
x = 12, y = - 3, z = 0
2
GATE CSE 2003
MCQ (Single Correct Answer)
+1
-0.3
$$A$$ system of equations represented by $$AX=0$$ where $$X$$ is a column vector of unknown and $$A$$ is a square matrix containing coefficients has a non-trival solution when $$A$$ is.
A
non-singular
B
singular
C
symmetric
D
Hermitian
3
GATE CSE 2002
MCQ (Single Correct Answer)
+1
-0.3
The rank of the matrix$$\left[ {\matrix{ 1 & 1 \cr 0 & 0 \cr } } \right]\,\,is$$
A
4
B
2
C
1
D
0
4
GATE CSE 2001
MCQ (Single Correct Answer)
+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
GATE CSE Subjects
Software Engineering
Web Technologies
EXAM MAP