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Exercise 10

Avg difficulty 3.0

Do the Gaussian reduction to check the formula for 3 ⁣× ⁣33\!\times\!3 matrices stated in the preamble to this section.

(abcdefghi)\begin{pmatrix}a&b&c\\ d&e&f\\ g&h&i\end{pmatrix} is nonsingular iff aei+bfg+cdh−hfa−idb−gec≠0aei+bfg+cdh-hfa-idb-gec\neq 0

Hefferon, Linear Algebra, Determinants, Exploration, Exercise 10

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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.