
Understanding Determinants and Linear Transformations

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

Jackson Turner
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary purpose of measuring how much a linear transformation stretches or squishes space?
To calculate the speed of transformation
To measure the factor by which the area changes
To identify the type of matrix used
To determine the color of the transformation
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a determinant of zero indicate about a linear transformation?
The transformation has no effect on space
The transformation squishes space into a lower dimension
The transformation scales areas by a factor of one
The transformation is reversible
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does a negative determinant affect the orientation of space?
It flips the orientation of space
It has no effect on orientation
It doubles the area
It makes the transformation reversible
Tags
CCSS.HSN.VM.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In three dimensions, what does the determinant represent?
The color of the transformation
The volume scaling factor
The type of matrix used
The speed of transformation
Tags
CCSS.7.G.A.3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the shape called that a 1x1x1 cube transforms into in three dimensions?
Parallelipiped
Parallelogram
Triangle
Rectangle
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a determinant of zero imply about the columns of a matrix in three dimensions?
They are parallel
They are orthogonal
They are linearly dependent
They are linearly independent
Tags
CCSS.8.G.A.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is used to describe orientation in 3D transformations?
Left hand rule
Right hand rule
Thumb rule
Index rule
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