
Transformation Matrices and Their Effects

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+2
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 does the first column of a transformation matrix in R2 represent?
The transformation of vector e1
The transformation of vector e2
The transformation of vector e3
The transformation of vector e4
Tags
CCSS.HSN.VM.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which line do vectors reflect across when transformed by matrix P?
y = x
y = -x
y = 0
x = 0
Tags
CCSS.HSN.VM.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the effect of matrix P on the vector e1?
It scales e1 by a factor of 2
It transforms e1 to (0, -1)
It reflects e1 across the line y = x
It rotates e1 by 90 degrees
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which matrix reflects vectors across the line y = -x?
Matrix S
Matrix P
Matrix Q
Matrix R
Tags
CCSS.HSN.VM.C.9
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the transformation effect of matrix S on vectors?
Scales vectors by a factor of 3
Reflects vectors across y = -x
Rotates vectors 180 degrees
Projects vectors onto y = x
Tags
CCSS.HSN.VM.C.11
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does matrix S transform the vector e2?
It transforms e2 to (1, 0)
It transforms e2 to (-1, 0)
It transforms e2 to (0, 1)
It transforms e2 to (1/2, 1/2)
Tags
CCSS.HSN.VM.C.11
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which matrix projects vectors onto the line y = x?
Matrix P
Matrix Q
Matrix S
Matrix R
Tags
CCSS.HSN.VM.C.11
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