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Matrices

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Matrix questions can be created like this:

 

Screen_Shot_2020-08-18_at_12.14.50_PM.png

In preview mode, the results will be incorrect like this:

Screen_Shot_2020-08-18_at_12.15.40_PM.png

Or correctly as:

Screen_Shot_2020-08-18_at_12.15.51_PM.png

 

 

Matrices can be used via the Matrices keypad

 

Screen_Shot_2020-08-18_at_12.18.05_PM.png

 

or can be entered as Latex, such as:

\begin{matrix}1&2&3\\4&5&6\\7&8&9\end{matrix}.  

Or typed in the symbolic full keypad like this:

 

Screen_Shot_2020-10-12_at_12.06.47_PM.png

Click outside the popup window to hide it.

Then you can click in the grey boxes to fill in the numbers:

Screen_Shot_2020-10-12_at_12.07.09_PM.png

and use the device keyboard tab and arrows to navigate:

Screen_Shot_2020-10-12_at_12.01.43_PM.png

 

 

Determinants:

We will illustrate the advanced capabilities of the evaluation engine with the Determinant function.

Determinants can be created in the Matrices keypad or in LaTex as:

\begin{vmatrix}1&2\\3&4\end{vmatrix}

Just a reminder that you can use LaTex, so instead of using the keypads, you can also can copy and paste this LaTex into the entry box and it will be interpreted.

 

If this is the expected answer, and the student enters -2 then this will be graded correctly.Screen_Shot_2020-10-12_at_12.12.39_PM.png

If you require the student to enter a precise matrix and not an equivalent form, then use "Literal"  evaluation mode.

Screen_Shot_2020-10-12_at_12.13.26_PM.png

 

You can also create Template (Cloze) or Complete the equation types of matrix questions as explained here.

 

Invalid Entries:

Consider the case of an entry as follows:

Screen_Shot_2020-08-07_at_11.54.04_AM.png

This is a matrix and a multiplication symbol, and is an incomplete expression. If you truly intend the students to enter something like this, then use Literal evaluation mode (there is no checking of valid mathematical forms or equivalences in literal mode).

 

Here is an invalid matrix equation. Even if the student entry matches this exactly, the result will be incorrect as the entry is invalid.

Screen_Shot_2020-08-07_at_11.57.41_AM.png

Another type of Matrix Question

Screen_Shot_2020-12-23_at_5.59.54_PM.png

 

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