1
GATE PI 2016
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of the matrix are $$\left[ {\matrix{ 0 & 1 \cr { - 1} & 0 \cr } } \right]$$
A
$$i $$ and $$-i$$
B
$$1$$ and $$-1$$
C
$$0$$ and $$1$$
D
$$0$$ and $$-1$$
2
GATE PI 2016
MCQ (Single Correct Answer)
+1
-0.3
The number of solutions of the simultaneous algebraic equations $$y=3x+3$$ and $$y=3x+5$$ is
A
zero
B
$$1$$
C
$$2$$
D
infinite
3
GATE PI 2014
MCQ (Single Correct Answer)
+1
-0.3
The system of equations, given below, has $$$x+2y+4z=2$$$ $$$4x+3y+z=5$$$ $$$3x+2y+3z=1$$$
A
a unique solution
B
Two solution
C
no solution
D
more than two solutions
4
GATE PI 2012
MCQ (Single Correct Answer)
+1
-0.3
For the matrix $$A = \left[ {\matrix{ 5 & 3 \cr 1 & 3 \cr } } \right],$$ ONE of the normalized eigen vectors is given as
A
$$\left( {\matrix{ {{1 \over 2}} \cr {{{\sqrt 3 } \over 2}} \cr } } \right)$$
B
$$\left( {\matrix{ {{1 \over {\sqrt 2 }}} \cr {{{ - 1} \over {\sqrt 2 }}} \cr } } \right)$$
C
$$\left( {\matrix{ {{3 \over {\sqrt {10} }}} \cr {{{ - 1} \over {\sqrt {10} }}} \cr } } \right)$$
D
$$\left( {\matrix{ {{1 \over 5}} \cr {{2 \over {\sqrt 5 }}} \cr } } \right)$$
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