
Understanding Matrix Rank and Transpose

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

Ethan Morris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main takeaway from the introduction regarding the rank of a matrix?
The rank of a matrix is equal to the rank of its transpose.
The rank of a matrix is always zero.
The rank of a matrix is unrelated to its transpose.
The rank of a matrix is always greater than its transpose.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the rank of A transpose defined?
As the number of rows in A.
As the number of columns in A.
As the dimension of the column space of A transpose.
As the sum of the elements in A.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What transformation is applied to a matrix to identify pivot rows?
Matrix multiplication
Reduced row echelon form
Matrix inversion
Matrix addition
Tags
CCSS.HSN.VM.A.2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What do pivot rows in reduced row echelon form represent?
The inverse of the matrix
The determinant of the matrix
A basis for the row space
A basis for the column space
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the dimension of the row space be determined?
By counting the number of zero rows
By counting the number of pivot rows
By adding all the elements in the matrix
By subtracting the number of columns from rows
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the row space of A and the column space of A transpose?
They are unrelated.
They are equal.
The row space is larger.
The column space is larger.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the rank of a matrix equal to?
The number of zero entries
The number of pivot entries
The number of columns
The number of rows
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