
Linear Transformation and Isomorphism Quiz

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

Olivia Brooks
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the nature of the transformation f from R2 to R2?
It is a cubic transformation.
It is a quadratic transformation.
It is a linear transformation.
It is a non-linear transformation.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which vectors are used to express the vector (1, 4) as a linear combination?
Vectors (1, 2) and (3, 0)
Vectors (2, 0) and (-3, 1)
Vectors (1, -2) and (0, 3)
Vectors (1, 0) and (0, 1)
Tags
CCSS.HSA.REI.C.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving for the coefficients in the linear combination?
Setting up a differential equation
Setting up an augmented matrix
Finding the determinant of a matrix
Performing a matrix multiplication
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of c1 in the linear combination of the vector (1, 4)?
3
2
1
0
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of c2 in the linear combination of the vector (1, 4)?
3
0
1
2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What operation is performed on both sides of the equation to find f(1, 4)?
Finding the inverse
Differentiation
Integration
Applying the transformation f
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the transformation f applied to the linear combination?
By adding the vectors
By multiplying the vectors
By using the properties of linear transformations
By finding the cross product
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