If a matrix is sensitive to roundoff errors, the computed value of its determinant may
Chapter 2, Problem 5(choose chapter or problem)
If a matrix is sensitive to roundoff errors, the computed value of its determinant may differ drastically from the exact value. For an example of this, set U = round(100 rand(10)); U = triu(U, 1) + 0.1 eye(10) In theory, det(U) = det(UT ) = 1010 and det(UUT ) = det(U) det(UT ) = 1020 Compute det(U), det(U_ ), and det(U U_ ) with MATLAB. Do the computed values match the theoretical values?
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