GATE CE 2008 | Linear Algebra Question 38 | Engineering Mathematics

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GATE CE 2008

MCQ (Single Correct Answer)

-0.3

The product of matrices $${\left( {PQ} \right)^{ - 1}}P$$ is

$${P^{ - 1}}$$

$${Q^{ - 1}}$$

$${P^{ - 1}}$$ $${Q^{ - 1}}$$ $$P$$

$$P$$ $$Q$$ $${P^{ - 1}}$$

GATE CE 2008

MCQ (Single Correct Answer)

-0.3

The eigenvalues of the matrix $$\left[ P \right] = \left[ {\matrix{ 4 & 5 \cr 2 & { - 5} \cr } } \right]$$ are

$$-7$$ and $$8$$

$$-6$$ and $$5$$

$$3$$ and $$4$$

$$1$$ and $$2$$

GATE CE 2006

MCQ (Single Correct Answer)

-0.3

Solution for the system defined by the set of equations $$4y+3z=8, 2x-z=2$$ & $$3x+2y=5$$ is

$$x=0, y=1,z=4/5$$

$$x=0,y=1/2,z=2$$

$$x=1,y=1/2,z=2$$

non existent

GATE CE 2005

MCQ (Single Correct Answer)

-0.3

Consider a non-homogeneous system of linear equations represents mathematically an over determined system. Such a system will be

Consistent having a unique solution

Consistent having many solutions.

Inconsistent having a unique solution.

none

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Irrigation

Gravity Dams and Spillways Water Requirement of Crops

Engineering Mechanics

Equilibrium of Force Systems Work Energy Principle and Impulse Momentum Equation

General Aptitude

Numerical Ability Logical Reasoning Verbal Ability

Transportation Engineering

Highway Devolopment and Planning Highway Geometric Design Traffic Engineering Highway Materials Pavement Design Railway, Runway and Taxiway Design

Hydrology

Precipitation and Frequency of Rainfall Data Evaporation and Transpiration Infiltration Hydrograph Flood Estimation and Flood Routing Well Hydraulics and River Gauging

Environmental Engineering

Sources and Coveyances Water Quality Control of Water Treatment of Water Water Demand Waste Water Characteristics Sewage System and Sewer Appurtenances Treatment of Sewage Disposal of Sewage Effluent Solid Waste Management Air Pollution Noise Pollution

Steel Structures

Riveted Joints and Bolted Joints Beams Materials and Specifications Compression Members Eccentric Connections Plate Girder Welded Connections Tension Members

Engineering Mathematics

Vector Calculus Numerical Methods Differential Equations Linear Algebra Complex Variable Probability and Statistics Transform Theory Calculus

Structural Analysis

Matrix Method Methods of Analysis Energy Principle Arches and Cable Truss Stability and Static Indeterminacy Moment Distribution Method Indeterminacy Influence Line Diagram Plastic Analysis Slope Deflection Method

Geomatics Engineering Or Surveying

Measurement of Area, Volume and Theory of Errors and Survey Adjustment Curves Theodolites and Plane Table Surveying Levelling Traversing Basics of GIS, GPS and Remote Sensing Field Astronomy and Photogrammetric Surveying Linear Measurements and Chain Survey Angular Measurements and Compass Survey Basic Concepts

Reinforced Cement Concrete

Workmenship and Fundamentals Limit State of Serviceability Singly Reinforced Sections Footings Prestressed Concrete Bond Limit State of Collapse Shear Slabs Flanged Beams Limit State of Collapse Compression Limit State of Collapse Torsion Doubly Reinforced Sections

Fluid Mechanics and Hydraulic Machines

Fluid Pressure and Measurement Fluid Dynamics Drag and Lift Dimensional Analysis Flow Through Pipes Hydrostatic Forces Open Channel Flow Hydraulic Machines Boundary Layer Theory Fluid Statics Properties of Fluids

Construction Material and Management

Construction Materials Program Evolution Review Technique Critical Path Method

Strength of Materials Or Solid Mechanics

Shear Stress In Beams Complex Stress Centroid and Moment of Inertia Simple Stresses Pure Bending Shear Force and Bending Moment Columns and Struts Propped Cantilever Beam Torsion Deflection of Beams Thin Cylinder Strain Energy Method

Geotechnical Engineering

Origin of Soils Definitions and Properties of Soils Classification of Soils and Clay Mineralogy Effective Stress and Permeability Seepage Analysis Compaction of Soil Compressibility and Consolidation Shear Strength of Soil Stress Distribution of Soil Retaining Wall and Earth Pressure Stability of Slopes Shallow Foundation Pile Foundation Soil Stabilization