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
$$\left( {\matrix{ {{1 \over 5}} \cr {{2 \over {\sqrt 5 }}} \cr } } \right)$$
GATE PI Subjects
Engineering Mechanics
Theory of Machines
Machine Design
Fluid Mechanics
Thermodynamics
Casting
Joining of Materials
Metal Forming
Machine Tools and Machining
Metrology
Industrial Engineering
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12