
Linear Transformations and Their Properties

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Olivia Brooks
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary focus of the concepts discussed in the video?
Image and kernel
Linear transformations
Vector spaces
Matrix operations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the image of a subspace represent in a linear transformation?
The zero vector in W
The inverse of the transformation
The vectors in W that are mapped from V
The original vectors in V
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the range of a linear transformation defined?
The image of the entire vector space V
The kernel of the transformation
The set of all vectors in W
The set of all vectors in V
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the image of a subspace S in V represent in W?
The entire vector space W
The zero vector in W
The part of W that is mapped from S
The inverse of the transformation
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example provided, what form do the vectors in the subspace of V take?
(c, c, 0)
(c, 0, 2c)
(c, 2c, 0)
(0, c, c)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the kernel of a linear transformation?
The set of all vectors in W
The set of all vectors in V
The set of vectors in V that map to zero in W
The set of vectors in W that map to zero
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which equation must be solved to find the kernel of the transformation L(v) = (v1, v2 - v3)?
L(v) = (1, 1)
L(v) = (v1, v2)
L(v) = 0W
L(v) = (v1, v3)
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