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Given 3 integers a, b, and c, design a 3x3 matrix so that the determinant is always exactly 1?
For example given an integer k you can say {[k, 1],[k^2-1, k]} and you have a 2x2 matrix that will always have a determinant of 1 regardless of the value of k.
Now choose 3 integers and do this for a 3x3 matrix.
*laugh* This isn't my homework--I graduated from university in 1991. This was merely a small pet project, an interesting problem for me to see how other people have solved it.
I have a handful of solutions already scattered in my notebooks full of little formulas that I have concocted over the years.
2 Answers
- jsardi56Lv 71 decade agoFavorite Answer
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