
Reduced Row Echelon Form Concepts

Interactive Video
•
Mathematics
•
9th - 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 first condition for a matrix to be in reduced row echelon form?
The matrix must be square.
The matrix must be symmetric.
The first nonzero element in each row must be a one.
All elements must be integers.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true about the leading entry in each row?
It must be a zero.
It must be to the right of the leading entry in the previous row.
It must be in the last column.
It must be in the first column.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is NOT a condition for reduced row echelon form?
All rows must have a leading entry.
Leading entries are to the right of the previous row's leading entry.
Each leading entry is a one.
All other elements in a column with a leading entry are zeros.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the matrix if the first three conditions of reduced row echelon form are met?
It becomes a diagonal matrix.
It is in row echelon form.
It becomes the identity matrix.
It is singular.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of replacing row two with 1/6 times row two?
The row becomes identical to row one.
The row becomes all zeros.
The leading entry becomes a one.
The row becomes identical to row four.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What operation is performed to obtain a zero in the third row, first column?
Multiply row three by two.
Add row one to row three.
Swap row three with row four.
Replace row three with negative two times row three plus row two.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the negative two in row three, third column changed to a positive one?
By adding row two to row three.
By swapping row three with row four.
By multiplying row three by negative 1/2.
By adding row one to row three.
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