GATE ME 2005 | Linear Algebra Question 39 | Engineering Mathematics

GATE ME 2005

MCQ (Single Correct Answer)

-0.6

Which one of the following is an eigen vector of the matrix $$\left[ {\matrix{ 5 & 0 & 0 & 0 \cr 0 & 5 & 0 & 0 \cr 0 & 0 & 2 & 1 \cr 0 & 0 & 3 & 1 \cr } } \right]$$ is

$${\left[ {\matrix{ 1 & { - 2} & 0 & 0 \cr } } \right]^T}$$

$${\left[ {\matrix{ 0 & { 0} & 1 & 0 \cr } } \right]^T}$$

$${\left[ {\matrix{ 1 & { 0} & 0 & -2 \cr } } \right]^T}$$

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

GATE ME Subjects

Engineering Mechanics

Engineering Mechanics Static and Dynamics

Strength of Materials

Springs Simple Stress and Strain Complex Stresses Pure Bending Moment of Inertia Shear Force and Bending Moment Stresses In Beams Deflection of Beams Columns and Struts Torsion Strain Energy Method Thin Cylinders

Theory of Machines

Analysis of Plane Mechanisms Gears and Gear Trains Vibrations Flywheel

Engineering Mathematics

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

Machine Design

Bolted Riveted and Welded Joints Design For Static Loading Design of Bearings Design of Brakes and Clutches Design of Spur Gears Fatigue Strength

Fluid Mechanics

Fluid Properties Fluid Statics Boundary Layer Turbulent Flow Laminar Flow Fluid Dynamics Fluid Kinematics

Turbo Machinery

Heat Transfer

Conduction Fin Design and Transient Heat Conduction Convection Radiation Heat Exchangers

Thermodynamics

Properties of Pure Substances Basic Concepts and Zeroth Law First Law of Thermodynamics Calculation of Work and Heat Entropy and Irreversibility Rankine Cycle Availability Second Law of Thermodynamics

Production Engineering

Sheet Metal Forming Processes Metal Cutting Welding Process Metal Forming Casting Advance Machine Tools Machining Metrology and Inspection

Industrial Engineering

Queuing Production Planning and Control Line Balancing Forecasting Pert and Cpm Inventory Control Transportation Scheduling Linear Programming Assignment

General Aptitude

Numerical Ability Logical Reasoning Verbal Ability