GATE CE 1998 | Linear Algebra Question 61 | Engineering Mathematics

Engineering Mathematics

Probability and Statistics

Marks 1 Marks 2

Differential Equations

Transform Theory

Calculus

Complex Variable

Linear Algebra

Vector Calculus

Numerical Methods

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

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 $$A = \left[ {\matrix{ 8 & -4 \cr 2 & { 2 } \cr } } \right].$$

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

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GATE CE Subjects

Engineering Mechanics

Strength of Materials Or Solid Mechanics

Structural Analysis

Construction Material and Management

Reinforced Cement Concrete

Steel Structures

Geotechnical Engineering

Fluid Mechanics and Hydraulic Machines

Hydrology

Irrigation

Geomatics Engineering Or Surveying

Environmental Engineering

Transportation Engineering

Engineering Mathematics

General Aptitude