Basis and Dimension

Quiz
•
Mathematics
•
University
•
Hard
Rhythm Girdhar
Used 48+ times
FREE Resource
11 questions
Show all answers
1.
OPEN ENDED QUESTION
30 sec • 1 pt
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 ?
{(1,0), (0,1)}
{(1,1), (1,2)}
{(2,3), (4,6)}
{(2,0)}
{(1,0),(3,0)}
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