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Matrix Theory Quiz

Authored by BALAJI N

Mathematics

Professional Development

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Matrix Theory Quiz
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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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