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Exercise 3

Avg difficulty 3.0

Verify that the determinant of an upper-triangular 3 ⁣× ⁣33\!\times\!3 matrix is the product down the diagonal.

det⁡((abc0ef00i))=aei\det(\begin{pmatrix}a&b&c\\ 0&e&f\\ 0&0&i\end{pmatrix})=aei

Do lower-triangular matrices work the same way?

Hefferon, Linear Algebra, Determinants, Exploration, Exercise 3

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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.