1
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
$${A^T} = A + {A^{ - 1}}$$
2
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
$$k < - 1/2$$
3
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
4
GATE ME 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
If any two columns of a determinant $$P = \left| {\matrix{ 4 & 7 & 8 \cr 3 & 1 & 5 \cr 9 & 6 & 2 \cr } } \right|$$ are interchanged, which one of the following statements regarding the value of the determinant is CORRECT?
A
absolute value remains unchanged but sign will change.
B
Both absolute valu and sign will change
C
Absolute value will change but sign will not change.
D
Both absolute value and sign will remain unchanged.
GATE ME Subjects
Turbo Machinery
EXAM MAP