
Linear Transformations and Vector Analysis

Interactive Video
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Mathematics
•
11th Grade - University
•
Hard
+1
Standards-aligned

Aiden Montgomery
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 goal of the lesson on linear transformations?
To find the inverse of a matrix
To determine the transformation matrix A
To learn about vector spaces
To solve a system of linear equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which vectors are used as linear combinations to set up the standard basis vectors?
Vectors (2, 2, -4), (-2, 0, 3), (0, -2, 1)
Vectors (1, 1, -8), (-1, 0, 6), (0, -1, 3)
Vectors (1, 2, 3), (4, 5, 6), (7, 8, 9)
Vectors (1, 0, 0), (0, 1, 0), (0, 0, 1)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in transforming the vector (1, 0, 0)?
Applying the properties of transformations
Finding the inverse of the matrix
Performing scalar multiplication
Writing the augmented matrix
Tags
CCSS.HSN-VM.B.5A
CCSS.HSN-VM.B.5B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of transforming the vector (1, 0, 0)?
Vector (1, 3, 1)
Vector (52, 44, 5)
Vector (9, 8, 1)
Vector (21, 23, 4)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the vector (0, 1, 0) expressed in terms of known vectors?
As a sum of (1, 2, 3), (4, 5, 6), and (7, 8, 9)
As a sum of (1, 1, -8), (-1, 0, 6), and (0, -1, 3)
As a sum of (2, 2, -4), (-2, 0, 3), and (0, -2, 1)
As a sum of (1, 0, 0), (0, 1, 0), and (0, 0, 1)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the transformation result of the vector (0, 1, 0)?
Vector (9, 8, 1)
Vector (21, 23, 4)
Vector (1, 3, 1)
Vector (52, 44, 5)
Tags
CCSS.HSN-VM.B.5A
CCSS.HSN-VM.B.5B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the constants in the transformation process?
They determine the size of the matrix
They are used to find the inverse matrix
They are ignored in the transformation
They are factored out during transformation
Tags
CCSS.HSN.VM.C.9
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