
Matrix Theory Quiz
Quiz
•
Mathematics
•
Professional Development
•
Practice Problem
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Medium
BALAJI N
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The number of positive terms in the canonical form is called
Signature
Index
Quadratic form
Positive definite
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A homogeneous polynomial of second degree in any number of variables is
Canonical form
Quadratic form
Orthogonal
Diagonal form
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The eigen values of an orthogonal matrix have the absolute value ______
0
1
2
±1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
All the eigen values of a symmetric matrix with real elements are
Distinct
Real
Equal
Conjugate complex numbers
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The eigen vectors corresponding to the distinct eigen values of a real symmetric matrix are
Imaginary
Non-orthogonal
Real
Orthogonal
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The rank of the zero matrix of order 3×3 is
0
1
2
3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The trace of a square matrix is defined as
Sum of diagonal elements
Product of diagonal elements
Determinant of the matrix
Sum of all elements
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