
Understanding Transformations and Kernels

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard

Sophia Harris
FREE Resource
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the transformation T of vector abc defined as?
ax squared plus bx
ax plus bx squared
ax plus bx cubed
ax cubed plus bx
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the image or range of the transformation?
The set of all possible vectors in R3
The set of all possible polynomials in P3
The set of all possible matrices
The set of all possible scalars
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which set forms a basis for the image of the transformation?
The set containing ax and bx cubed
The set containing x and x squared
The set containing x and x cubed
The set containing ax squared and bx
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the set containing ax and bx cubed not a suitable basis for the image?
Because it ties the basis to specific values of a and b
Because it includes non-linear terms
Because it is not a complete set
Because it is not in P3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the kernel of the transformation?
The set of all input vectors that result in a non-zero polynomial
The set of all output vectors that result in a non-zero vector
The set of all input vectors that result in the zero polynomial
The set of all output vectors that result in a zero vector
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be true for the output to be the zero polynomial in the kernel?
a and b must be zero
c must be zero
b must be zero
a must be zero
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What form do the vectors in the kernel take?
Vectors in the form of (a, 0, c)
Vectors in the form of (0, b, c)
Vectors in the form of (0, 0, c)
Vectors in the form of (a, b, 0)
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