1
GATE ME 2016 Set 1
+1
-0.3
The solution to the system of equations is $$\left[ {\matrix{ 2 & 5 \cr { - 4} & 3 \cr } } \right]\left\{ {\matrix{ x \cr y \cr } } \right\} = \left\{ {\matrix{ 2 \cr { - 30} \cr } } \right\}$$
A
$$6, 2$$
B
$$-6, 2$$
C
$$-6, -2$$
D
$$6, -2$$
2
GATE ME 2016 Set 2
+1
-0.3
The condition for which the eigenvalues of the matrix $$A = \left[ {\matrix{ 2 & 1 \cr 1 & k \cr } } \right]$$ are positive, is
A
$$k > 1/2$$
B
$$k > -2$$
C
$$k > 0$$
D
$$k < - 1/2$$
3
GATE ME 2016 Set 3
+1
-0.3
A real square matrix $$A$$ is called skew-symmetric if
A
$${A^T} = A$$
B
$${A^T} = {A^{ - 1}}$$
C
$${A^T} = - A$$
D
$${A^T} = A + {A^{ - 1}}$$
4
GATE ME 2015 Set 3
Numerical
+1
-0
The lowest eigen value of the $$2 \times 2$$ matrix $$\left[ {\matrix{ 4 & 2 \cr 1 & 3 \cr } } \right]$$ is ______.
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude
EXAM MAP
Medical
NEET