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 2004
MCQ (Single Correct Answer)
+1
-0.3
The number of different $$n \times n$$ symmetric matrices with each elements being either $$0$$ or $$1$$ is
A
$${2^n}$$
B
$${2^{{n^2}}}$$
C
$${2^{{{{n^2} + n} \over 2}}}$$
D
$${2^{{{{n^2} - n} \over 2}}}$$
3
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
4
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
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