1
GATE ME 2014 Set 1
+1
-0.3
Which one of the following describes the relationship among the three vectors, $$\widehat i + \widehat j + \widehat k,\,\,2\widehat i + 3\widehat j + \widehat k$$ and $$5\widehat i + 6\widehat j + 4\widehat k?$$
A
The vectors are mutually perpendicular
B
The vectors are linearly dependent
C
The vectors are linearly independent
D
The vectors are unit vectors
2
GATE ME 2013
+1
-0.3
The eigen values of a symmetric matrix are all
A
complex with non-zero positive imaginary part.
B
complex with non-zero negative imaginary part.
C
real
D
pure imaginary
3
GATE ME 2012
+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
$$\left( {\matrix{ {{1 \over 5}} \cr {{2 \over {\sqrt 5 }}} \cr } } \right)$$
4
GATE ME 2011
+1
-0.3
Eigen values of a real symmetric matrix are always
A
positive
B
negative
C
real
D
$$162.$$ $$\left[ {\rm A} \right]$$ is a square
GATE ME Subjects
EXAM MAP
Medical
NEET