1
GATE CE 2014 Set 1
Numerical
+1
-0
Given the matrices $$J = \left[ {\matrix{ 3 & 2 & 1 \cr 2 & 4 & 2 \cr 1 & 2 & 6 \cr } } \right]$$ and $$K = \left[ {\matrix{ 1 \cr 2 \cr { - 1} \cr } } \right],\,\,$$ the product $${K^T}JK$$ is ______.
2
GATE CE 2014 Set 1
+1
-0.3
The sum of Eigen values of the matrix, $$\left[ M \right]$$
is where $$\left[ M \right] = \left[ {\matrix{ {215} & {650} & {795} \cr {655} & {150} & {835} \cr {485} & {355} & {550} \cr } } \right]$$
A
$$915$$
B
$$1355$$
C
$$1640$$
D
$$2180$$
3
GATE CE 2012
+1
-0.3
The eigen values of matrix $$\left[ {\matrix{ 9 & 5 \cr 5 & 8 \cr } } \right]$$ are
A
$$-2.42$$ and $$6.86$$
B
$$3.48$$ and $$13.53$$
C
$$4.70$$ and $$6.86$$
D
$$6.86$$ and $$9.50$$
4
GATE CE 2009
+1
-0.3
In the solution of the following set of linear equations by Gauss-elimination using partial pivoting $$5x+y+2z=34,$$$$$4y-3z=12$$$ and $$10x-2y+z=-4.$$\$
The pivots for elimination of $$x$$ and $$y$$ are
A
$$10$$ and $$4$$
B
$$10$$ and $$2$$
C
$$5$$ and $$4$$
D
$$5$$ and $$-4$$
GATE CE Subjects
Engineering Mechanics
Construction Material and Management
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
General Aptitude
EXAM MAP
Medical
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