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 "Basis (beta)".
  3. Give a correct basis by typing the column vectors which describe the basis between curly brackets. This basis 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.


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

Build up your exercise as you always do: add a description of the question, add the question itself, provide a correct answer (in the answer box) and (optionally) add more detailed feedback.

See an example below:

Step 2: set the check-type to "Basis (beta)"

Click on the gear icon next to the answer box and select the the check-type "Basis (beta)".

Step 3: give a correct basis to check answers with

Give a correct basis as the correct answer in the edit view. This basis will be used to check whether the answers given by learners are also correct basises for the subspace.

The following correct answer provided by the editor will result in the same exercise:

Step 4: test different correct and incorrect answers
For our sample exercise a correct answer is a basis from from v_1 and v_3.

And an incorrect answer for our sample exercise is a basis where the second vector is not in the span.

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.

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