What is the primary goal when working with matrices in solving systems of linear equations?
Manipulating Matrices: Elementary Row Operations and Gauss-Jordan Elimination

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Mathematics
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9th - 12th Grade
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Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
To find the solutions to the system of equations
To calculate the inverse of the matrix
To determine the rank of the matrix
To find the determinant of the matrix
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which operation is NOT allowed when performing elementary row operations on a matrix?
Adding two rows
Swapping two rows
Subtracting one row from another
Multiplying a row by zero
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of adding two rows in a matrix?
A new row that maintains the same solution
A new row that changes the solution
A new row that halves the solution
A new row that doubles the solution
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the Gauss-Jordan elimination example, what is the value of z?
5
1
-9
0
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving a system using Gauss-Jordan elimination?
Checking for singularity
Constructing the augmented matrix
Calculating the inverse
Finding the determinant
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final step in the Gauss-Jordan elimination process?
Calculating the inverse
Swapping rows for aesthetic
Checking for consistency
Finding the determinant
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a leading 1 in a matrix indicate?
The matrix is in reduced row-echelon form
The matrix has no solutions
The matrix is singular
The matrix is invertible
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