
Understanding Linear Transformations and Matrix Products

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

Emma Peterson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of composing two linear transformations from set X to set Z?
A transformation from Z to Y
A transformation from X to Z
A transformation from Y to Z
A transformation from Z to X
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of composing a linear transformation with itself?
The zero transformation
A new transformation
The inverse transformation
The identity transformation
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can a linear transformation be represented in terms of matrices?
As a vector addition
As a scalar multiplication
As a matrix multiplication
As a division operation
Tags
CCSS.HSN.VM.C.9
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the composition of two linear transformations represented in matrix form?
As the division of two matrices
As the difference of two matrices
As the product of two matrices
As the sum of two matrices
Tags
CCSS.HSN.VM.C.9
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when you apply the composition of three linear transformations to a vector?
The transformations are applied in sequence
The transformations are applied in reverse order
The vector is unchanged
The transformations cancel each other out
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the matrix representation of the composition of three transformations h, g, and f?
g * h * f
h * f * g
f * g * h
h * g * f
Tags
CCSS.HSN.VM.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the associative property of matrix products imply?
Matrices can be divided in any order
The order of multiplication can be changed
The order of multiplication does not matter
Matrices can be added in any order
Tags
CCSS.HSN.VM.C.9
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