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Exercise 4

Avg difficulty 3.0

Find the only nonzero term in the permutation expansion of this matrix.

∣0100101001010010∣\begin{vmatrix}0&1&0&0\\ 1&0&1&0\\ 0&1&0&1\\ 0&0&1&0\end{vmatrix}

Compute that determinant by finding the signum of the associated permutation.

Hefferon, Linear Algebra, Determinants, Determinants Exist, Exercise 4

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.