Basis and Dimension

Basis and Dimension

University

11 Qs

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Basis and Dimension

Basis and Dimension

Assessment

Quiz

Mathematics

University

Practice Problem

Hard

Created by

Rhythm Girdhar

Used 49+ times

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11 questions

Show all answers

1.

OPEN ENDED QUESTION

30 sec • Ungraded

What is your name?

Evaluate responses using AI:

OFF

2.

MULTIPLE CHOICE QUESTION

30 sec • Ungraded

Which is your favorite mathematical subject?

Linear Algebra

Real Analysis

Partial Differential Equations

Sequence and Series

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A set of linear equations is represented by the matrix equation Ax=b. The necessary condition for the existence of a solution for this system is

A must be invertible

b must be linearly dependent on columns of A

b must be linearly independent of columns of A

None of these

4.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Which of the following would be a linear combination of {(a, 0), (b, 0)} ? (a and b are non-zero)

(3,0)

(1, 3)

(0,5)

(16, 0)

5.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Define Dimension of a vector space?

6.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Basis of a vector space are unique.

True

False

7.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

 Which of the following are linearly independent of  R2R^2  ?

{(1,0), (0,1)}

{(1,1), (1,2)}

{(2,3), (4,6)}

{(2,0)}

{(1,0),(3,0)}

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