1
GATE ME 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The product of eigenvalues of the matrix $$P$$ is $$P = \left[ {\matrix{ 2 & 0 & 1 \cr 4 & { - 3} & 3 \cr 0 & 2 & { - 1} \cr } } \right]$$
A
$$-6$$
B
$$2$$
C
$$6$$
D
$$-2$$
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 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
$$k < - 1/2$$
4
GATE ME 2016 Set 3
MCQ (Single Correct Answer)
+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
$${A^T} = A + {A^{ - 1}}$$
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Turbo Machinery
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Graduate Aptitude Test in Engineering
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