Question: Advanced Linear Algebra Questions

I'm trying to make the following question into a Maple TA question;
Find the orthogonal matrix R that diagonalizes the matrix A = .
Using question designer and then a maple graded response area, I can assess if the student has entered a valid matrix for R; however, the problem is that the student then has to enter something of the form <<1,3>|<-3,1>> as their answer. It's not that bad for a 2x2 matrix but once I get to 4x4's this is going to get really messy, and it's almost a given that someone will mess up the syntax.

Can anyone think of a way for students to enter their answer in a format that isn't so confusing? Or does anyone have any ideas on how to approach a question like this differently?

Thanks for your time and any advice,
Mike

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