What are the two special cases to consider when solving a system of equations?

Elementary Row Operations and Systems

Interactive Video
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Mathematics
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9th - 10th Grade
•
Hard

Thomas White
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18 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Consistency and uniqueness
Redundancy and singularity
Inconsistency and dependency
Inconsistency and redundancy
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the system of equations X - 2y + 3z = 1, -X + 3y - 2z = -1, and 2X - 4y + 6z = 5?
Graphing the equations
Substituting values
Finding the determinant
Setting up the augmented matrix
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using elementary row operations on the augmented matrix?
To eliminate variables
To graph the equations
To achieve an upper triangular matrix
To find the determinant
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of adding Row 1 to Row 2 in the first system?
0 1 1 0
1 0 0 1
1 1 0 0
0 0 1 1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of subtracting 2 times Row 1 from Row 3 in the first system?
0 0 0 3
1 1 1 1
2 2 2 2
0 0 0 0
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a row of zeros with a non-zero constant in the augmented matrix indicate?
The system is redundant
The system has infinite solutions
The system has a unique solution
The system is inconsistent
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in setting up the augmented matrix for the second system of equations?
Using the coefficients of x, y, and z
Finding the inverse of the matrix
Substituting known values
Graphing the equations
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