1
GATE CE 2016 Set 2
+2
-0.6
Consider the following linear system $$x+2y-3z=a$$$$$2x+3y+3z=b$$$ $$5x+9y-6z=c$$\$
This system is consistent if $$a,b$$ and $$c$$ satisfy the equation
A
$$7a - b - c = 0$$
B
$$3a + b - c = 0$$
C
$$3a - b + c = 0$$
D
$$7a - b + c = 0$$
2
GATE CE 2015 Set 1
+2
-0.6
The smallest and largest Eigen values of the
following matrix are : $$\left[ {\matrix{ 3 & { - 2} & 2 \cr 4 & { - 4} & 6 \cr 2 & { - 3} & 5 \cr } } \right]$$
A
$$1.5$$ and $$2.5$$
B
$$0.5$$ and $$2.5$$
C
$$1.0$$ and $$3.0$$
D
$$1.0$$ and $$2.0$$
3
GATE CE 2015 Set 2
+2
-0.6
The two Eigen Values of the matrix $$\left[ {\matrix{ 2 & 1 \cr 1 & p \cr } } \right]$$ have a ratio of $$3:1$$ for $$p=2.$$ What is another value of $$'p'$$ for which the Eigen values have the same ratio of $$3:1$$?
A
$$-2$$
B
$$1$$
C
$$7/3$$
D
$$14/3$$
4
GATE CE 2013
Numerical
+2
-0
What is the minimum number of multiplications involved in computing the matrix product $$PQR?$$ Matrix $$P$$ has $$4$$ rows and $$2$$ columns, matrix $$Q$$ has $$2$$ rows and $$4$$ columns and matrix $$R$$ has $$4$$ rows and $$1$$ column ______.
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Irrigation
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude
EXAM MAP
Joint Entrance Examination