1

GATE CE 2016 Set 2

MCQ (Single Correct Answer)

+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

This system is consistent if $$a,b$$ and $$c$$ satisfy the equation

2

GATE CE 2015 Set 1

MCQ (Single Correct Answer)

+2

-0.6

The smallest and largest Eigen values of the

following matrix are : $$\left[ {\matrix{ 3 & { - 2} & 2 \cr 4 & { - 4} & 6 \cr 2 & { - 3} & 5 \cr } } \right]$$

following matrix are : $$\left[ {\matrix{ 3 & { - 2} & 2 \cr 4 & { - 4} & 6 \cr 2 & { - 3} & 5 \cr } } \right]$$

3

GATE CE 2015 Set 2

MCQ (Single Correct Answer)

+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 $$3:1$$?

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 ______.

Your input ____

Questions Asked from Linear Algebra (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

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

Environmental Engineering

Engineering Mathematics

Structural Analysis

Geotechnical Engineering

Fluid Mechanics and Hydraulic Machines

General Aptitude