GATE CE 1998 | Linear Algebra Question 64 | 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

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

un symmetric

always symmetric

skew - symmetric

some times symmetric

GATE CE 1997

MCQ (Single Correct Answer)

-0.3

Inverse of matrix $$\left[ {\matrix{ 0 & 1 & 0 \cr 0 & 0 & 1 \cr 1 & 0 & 0 \cr } } \right]$$ is

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

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

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

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

GATE CE 1997

MCQ (Single Correct Answer)

-0.3

If $$A$$ and $$B$$ are two matrices and $$AB$$ exists then $$BA$$ exists,

only if $$A$$ has as many rows as $$B$$ has columns

only if both $$A$$ and $$B$$ are square matrices

only if $$A$$ and $$B$$ are skew matrices

only if both $$A$$ and $$B$$ are symmetric

GATE CE 1997

MCQ (Single Correct Answer)

-0.3

If the determinant of the matrix $$\left[ {\matrix{ 1 & 3 & 2 \cr 0 & 5 & { - 6} \cr 2 & 7 & 8 \cr } } \right]$$ is $$26,$$ then the determinant of
the matrix $$\left[ {\matrix{ 2 & 7 & 8 \cr 0 & 5 & { - 6} \cr 1 & 3 & 2 \cr } } \right]$$ is

$$-26$$

$$26$$

$$0$$

$$52$$

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