System of Equations Using Matrix

What is the solution to the system?

• (-20, -6, -9)

• (3, 2, 0)

• All Real Numbers

• No Solution

• (4, 3, -1)

• (3, 8, 9)

• All Real Numbers

• No Solution

This is an example of a

• System of Quadratic Equations

• Reduced Row Echelon Form

• Augmented Matrix

• A Canine Doing a Backflip

This is an example of

• Row Echelon Form

• Reduced Row Echelon Form

• Really Reduced Echelon Form

• Really Really Easy Form

Using back-substitution, calculate the solution for the REF matrix.

• (3, -6, 3)

• (-6, -6, 3)

• (6, -6, 3)

• (-6, -6, 3)

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.

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

• (3, 9 -1)

• (0, 3, 7)

• All Real Numbers

• No Solution

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

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.