Vector Space Quiz

Vector Space Quiz

University

49 Qs

quiz-placeholder

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Vector Space Quiz

Vector Space Quiz

Assessment

Quiz

Mathematics

University

Hard

Created by

Alee Alee

Used 1+ times

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49 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a vector in R3?

[12]

[3−25]

[01]

[1234]

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A vector space must be closed under which two operations?

Differentiation and integration

Multiplication and division

Vector addition and scalar multiplication

Transposition and inversion

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which one is NOT a property of a vector space?

Associative multiplication

Distributive scalar multiplication

Additive inverse

Zero vector exists

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The zero vector in any vector space:

Does not exist

Depends on the scalar

Is the additive identity

Must have all components as one

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The set of all vectors in R2 is a:

Matrix

Subspace

Vector space

Scalar field

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If v=[2−1], then 3v=?

[6−3]

[50]

[3−3]

[61]

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a set is closed under addition but not under scalar multiplication, is it a vector space?

Yes

No

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