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Exercise 18

Avg difficulty 3.0

Find the element of likeness in (a) simplifying a fraction, (b) powdering the nose, (c) building new steps on the church, (d) keeping emeritus professors on campus, (e) putting BB, CC, DD in the determinant

∣1aa2a3a31aa2Ba31aCDa31∣.\begin{vmatrix}1&a&a^{2}&a^{3}\\ a^{3}&1&a&a^{2}\\ B&a^{3}&1&a\\ C&D&a^{3}&1\end{vmatrix}.

Hefferon, Linear Algebra, Determinants, Properties of Determinants, Exercise 18

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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.