
Linear Transformations in R2

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
+1
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 primary goal when finding the matrix A for a linear transformation T in R2?
To calculate the determinant of T
To identify the eigenvalues of T
To find the transformation matrix such that T(x) = Ax for all x
To determine the inverse of T
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which vectors are used to form the columns of the transformation matrix in R2?
Vectors (1, 2) and (2, 1)
Vectors (0, 1) and (1, 0)
Vectors (1, 1) and (1, 0)
Vectors (1, 0) and (0, 1)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the transformation of vector e1 (1,0)?
Calculating the determinant of the transformation matrix
Finding the inverse of the transformation matrix
Identifying the eigenvectors of the transformation matrix
Writing e1 as a linear combination of known vectors
Tags
CCSS.HSN-VM.B.5A
CCSS.HSN-VM.B.5B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the transformation of vector (1,0) after applying the properties of linear transformations?
(3, 1)
(0, 1)
(-11, -3)
(1, 0)
Tags
CCSS.HSN-VM.B.5A
CCSS.HSN-VM.B.5B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the vectors (1,4) and (2,7) in this transformation process?
They are the eigenvectors of the transformation
They are the vectors whose transformations are known
They are the basis vectors for R2
They are the columns of the transformation matrix
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of writing the augmented matrix in reduced row echelon form?
To determine the coefficients for the linear combination
To simplify the calculation of the transformation
To find the inverse of the matrix
To calculate the determinant of the matrix
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the vector e2 (0,1) expressed in terms of known vectors?
As a linear combination of vectors (1,4) and (2,7)
As a product of vectors (1,4) and (2,7)
As a difference of vectors (1,4) and (2,7)
As a sum of vectors (1,4) and (2,7)
Tags
CCSS.HSN-VM.B.5A
CCSS.HSN-VM.B.5B
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