GATE CE 1998 | Linear Algebra Question 47 | Engineering Mathematics

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GATE CE 1998

MCQ (Single Correct Answer)

-0.3

In matrix algebra $$AS=AT$$ ($$A,S,T,$$ are matrices of appropriate order) implies $$S=T$$ only if

$$A$$ is symmetric

$$A$$ is singular

$$A$$ is non singular

$$A$$ is skew - symmetric

GATE CE 1998

MCQ (Single Correct Answer)

-0.3

If $$A$$ is a real square matrix then $$A{A^T}$$ is

un symmetric

always symmetric

skew - symmetric

some times symmetric

GATE CE 1998

MCQ (Single Correct Answer)

-0.3

The real symmetric matrix $$C$$ corresponding to the quadratic form $$Q = 4{x_1}{x_2} - 5{x_2}{x_2}$$ is

$$\left[ {\matrix{ 1 & 2 \cr 2 & { - 5} \cr } } \right]$$

$$\left[ {\matrix{ 2 & 0 \cr 0 & { - 5} \cr } } \right]$$

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

$$\left[ {\matrix{ 0 & 2 \cr 2 & { - 5} \cr } } \right]$$

GATE CE 1998

Subjective

-0

Obtain the eigen values and eigen vectors of $$A = \left[ {\matrix{ 8 & -4 \cr 2 & { 2 } \cr } } \right].$$

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GATE CE Subjects

Engineering Mechanics

Work Energy Principle and Impulse Momentum Equation Equilibrium of Force Systems

Strength of Materials Or Solid Mechanics

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

Structural Analysis

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

Construction Material and Management

Critical Path Method Construction Materials Program Evolution Review Technique

Reinforced Cement Concrete

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

Steel Structures

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

Geotechnical Engineering

Origin of Soils Definitions and Properties of Soils

Fluid Mechanics and Hydraulic Machines

Properties of Fluids Fluid Statics

Hydrology

Evaporation and Transpiration Precipitation and Frequency of Rainfall Data

Irrigation

Gravity Dams and Spillways Water Requirement of Crops

Geomatics Engineering Or Surveying

Angular Measurements and Compass Survey Basic Concepts Linear Measurements and Chain Survey

Environmental Engineering

Sources and Coveyances Water Water Demand Quality Control of Water

Transportation Engineering

Highway Geometric Design Highway Devolopment and Planning

Engineering Mathematics

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

General Aptitude

Numerical Ability Logical Reasoning Verbal Ability