1
GATE PI 2010
MCQ (Single Correct Answer)
+1
-0.3
The value of $$q$$ for which the following set of linear equations $$2x+3y=0, 6x+qy=0$$ can have non-trivial solution is
A
$$2$$
B
$$7$$
C
$$9$$
D
$$11$$
2
GATE PI 2010
MCQ (Single Correct Answer)
+1
-0.3
If $$(1, 0, -1)$$$${}^T$$ is an eigen vector of the following matrix $$\left[ {\matrix{ 1 & { - 1} & 0 \cr { - 1} & 2 & { - 1} \cr 0 & { - 1} & 1 \cr } } \right]$$ then the corresponding eigen value is
A
$$1$$
B
$$2$$
C
$$3$$
D
$$5$$
3
GATE PI 2009
MCQ (Single Correct Answer)
+1
-0.3
The value of the determinant $$\left| {\matrix{ 1 & 3 & 2 \cr 4 & 1 & 1 \cr 2 & 1 & 3 \cr } } \right|$$ is
A
$$-28$$
B
$$-24$$
C
$$32$$
D
$$36$$
4
GATE PI 2007
MCQ (Single Correct Answer)
+1
-0.3
If $$A$$ is square symmetric real valued matrix of dimension $$2n$$, then the eigen values of $$A$$ are
A
$$2n$$ distinct real values
B
$$2n$$ real values not neccessarily distinct
C
$$n$$ distinct pairs of complex conjugate numbers
D
$$n$$ pairs of complex conjugate numbers, not necessarily distinct
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