1
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+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
$$k < - 1/2$$
2
GATE ME 2016 Set 1
MCQ (Single Correct Answer)
+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
$$6, -2$$
3
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 ______.
Your input ____
4
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
At least one eigenvalue of a singular matrix is
A
positive
B
zero
C
negative
D
imaginary
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