## Summary

The following steps describe in short how to do this.

1. Create a new exercise with type "Equation".
2. Set the check type of the exercise by clicking the gear icon left of the answer box and selecting the type "Solution to System of Equations (beta)".
3. Give a correct (minimal) complete solution to the system of equations by. This solution will be used to test whether the answers given by learners are correct.
4. Go to preview mode and test different answers.
5. (Optional) add more detailed feedback/explanation to the exercise.

## Note: beta functionality

This functionality is in beta. We're very interested to hear your experiences with it.
If it does not function as you would expect it, you miss certain options, or you just really wished it work differently, please contact us using the chat icon on the bottom right.
We value your feedback as we are here to help you create great interactive exercises for linear algebra.

## Steps

#### Step 1: create a new exercise with type "Equation"

See an example below: #### Step 2: set the check-type to "Solution to system of equations (beta)"

Click on the gear icon next to the answer box and select the the check-type "Solution to system of equations (beta)". #### Step 3: give a correct complete solution to check answers with

Give a correct complete (but minimal) solution as the correct answer in the edit view. This solution will be used to check whether the answers given by learners are also correct complete solutions for the system of equations. Step 4: test different correct and incorrect answers
For our sample exercise a correct answer is a solution particular solution satisfying A*x = b and two linear independent homogeneous vectors which satisfy A*u = 0. Additionally, the free variables are r and s (which is also correct). And an incorrect answer for our sample exercise is a solution where the two homogeneous vectors are linear dependent. #### Step 5: add more detailed feedback

Automatic feedback will be shown to student about whether they have the answer correct or incorrect including a correct answer.
However more detailed explanation on when answers are correct help the learners in learning from both their correct as incorrect answers. Add these explanations in the green "Worked Example" box and orange "Question at wrong answer" box.