What is a dependent system of linear equations?
Algebra 58 - Gauss-Jordan Elimination with Dependent Systems

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Mathematics
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11th Grade - University
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Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A system with exactly one solution
A system where some equations are dependent on others
A system with no solutions
A system where equations are independent
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does Gauss-Jordan elimination help with dependent systems?
It provides a graphical solution
It only works for independent systems
It adds more equations to the system
It identifies dependent equations and simplifies the system
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what indicates that the system is dependent?
The equations have different variables
The second equation is a multiple of the first
The equations have no solutions
The equations are in reduced row echelon form
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the second row during Gauss-Jordan elimination in the first example?
It remains unchanged
It becomes a row of all zeros
It becomes the first row
It is removed from the matrix
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is unique about the system of equations?
The equations are in different dimensions
All equations are independent
All equations are multiples of each other
The system has no solutions
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of Gauss-Jordan elimination in the second example?
A system with more variables
Three independent equations
A single equation representing the solution set
A system with no solutions
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the third example, how are the equations related?
Each equation is a linear combination of the other two
All equations are independent
The equations have no common solution
Each equation is a multiple of the first
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