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- 1. Multiple Choice
This is an example of a
System of Quadratic Equations
Reduced Row Echelon Form
Augmented Matrix
A Canine Doing a Backflip
- 2. Multiple Choice
This is an example of
Row Echelon Form
Reduced Row Echelon Form
Really Reduced Echelon Form
Really Really Easy Form
- 3. Multiple Choice
Reduced Row Echelon Form is where ______________________
Zeroes in the first column of my matrix
Thel ast column has all zeroes
One's are in a diagonal pattern of my matrix with zeroes underneath the one's.before the augmented portion
One's are in a diagonal pattern of my matrix with zeroes above and below the ones before the augmented portion
- 4. Multiple Choice
What is the solution to the 4x5 Matrix?
( 3, 4, 9, 6 )
( 3, 4, 9, -6 )
( -6, 9, 4, 3 )
( 6, 9, 4, 3 )
- 5. Multiple Choice
What is the solution to the systems of equations represented by the 3x4 Matrix?
(4, 6, 2)
(-6, 2, 2)
All Real Numbers
No Solutions
- 6. Multiple Choice
(2,3,5,0)
(2,3,4,5)
All Real Numbers
No Solution
- 7. Multiple Choice
Using back-substitution, calculate the solution for the REF matrix.
(3, -6, 3)
(-6, -6, 3)
(6, -6, 3)
(-6, -6, 3)
- 8. Multiple Choice
Back-substitute to calculate the solution from the REF Matrix.
2, 4, (1/2)
(-1/5), 4, (1/2)
(1/2), 2, 1
(1/5) , 4, (1/2)
- 9. Multiple Choice
Johnny was using Gaussian Elimination to simplify the matrix. What did he do wrong in this step?
To get a zero for a number you should multiply the same row by its' reciprocal
If you multiply a number to a row you have to change that row too
He added the numbers incorrectly
Nothing. This step was correct.
- 10. Multiple Choice
Jessica is simplifying the matrix using Gaussian Elimination. Did she complete the step correctly?
No, she should have changed the 2 to a zero and multiplied -2 by R2 and added R1
No, she wanted to change the 3 to a zero so she should have multiplied R2 and added it to R3
Yes. When you need a zero you multiply by the number's reciprocal.
No. Just punch in the calculator. Who cares about Carl Gauss
- 11. Multiple Choice
Jeffrey wrote a matrix to represent his system of equations. What was his mistake
The z's are not aligned correctly
There should be a one in the top row for zero
There should be a zero in the second column of the third representing the y
Nothing. This is correct.
- 12. Multiple Choice
(4, 3, -1)
(3, 8, 9)
All Real Numbers
No Solution
- 13. Multiple Choice
Jillian solved the matrix on the left. Jacob solved the matrix on the right. Who is correct?
Jillian, because she multiplied by the reciprocal.
Jacob, because he got the top left number to be a one.
Neither. They needed to take care of the one and make it a zero first.
Both. Each step is legal and takes care of the top left term
- 14. Multiple Choice
Jemima is in the process of reducing her matrix. Her next step is shown here. What was her mistake?
She should have multiplied the 3 by its' reciprocal
She has the bottom row already solved for
She multiplied her top row correctly, but that doesn't change the first row when we add it to another row
Nothing. She performed her step correctly.
- 15. Multiple Choice
Answer the question
lollipops are $3, candy bars are $2, peanut butter bars are $1
lollipops are $2, candy bars are $2, peanut butter bars are $3
lollipops are $1, candy bars are $2, peanut butter bars are $3
lollipops are $1, candy bars are $2.50, peanut butter bars are $4
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