GATE CE 1998 | GATE CE Year Wise Previous Years Questions

PREVIOUS NEXT

GATE CE 1998

MCQ (Single Correct Answer)

-0.3

The real symmetric matrix $$C$$ corresponding to the quadratic form $$Q = 4{x_1}{x_2} - 5{x_2}{x_2}$$ is

$$\left[ {\matrix{ 1 & 2 \cr 2 & { - 5} \cr } } \right]$$

$$\left[ {\matrix{ 2 & 0 \cr 0 & { - 5} \cr } } \right]$$

$$\left[ {\matrix{ 1 & 1 \cr 1 & { - 2} \cr } } \right]$$

$$\left[ {\matrix{ 0 & 2 \cr 2 & { - 5} \cr } } \right]$$

GATE CE 1998

Subjective

-0

Obtain the eigen values and eigen vectors of $$A = \left[ {\matrix{ 8 & -4 \cr 2 & { 2 } \cr } } \right].$$

GATE CE 1998

MCQ (Single Correct Answer)

-0.3

A discontinuous real function can be expressed as

Taylor's series and Fourier's series

Taylor's series and not by Fourier's series

Neither Taylor's series nor Fourier's series

not by Taylor's series, but by Fourier's series

GATE CE 1998

MCQ (Single Correct Answer)

-0.3

The Taylor's series expansion of sin $$x$$ is ______.

$$1 - {{{x^2}} \over {2!}} + {{{x^4}} \over {4!}} - ......$$

$$1 + {{{x^2}} \over {4!}} + {{{x^4}} \over {4!}} + ......$$

$$x + {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} + ......$$

$$x - {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} - ......$$

PREVIOUS NEXT

GATE CE Papers

2018

2017

2016

2015

2014

2013

2012

2011

2010

2009

2008

2007

2006

2005

2004

2003

2002

2001

2000

1999

1998

1997

1996

1995

1994

1993

1992

1991

1990

1989

1988

1987