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The determinant of a triangular matrix

Reading determinants of triangular matrices straight off the diagonal, multiplying the diagonal entries instead of expanding cofactors.

Matrix Theory and Linear Algebra, The determinant of a triangular matrix

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1 exercise

Exercise 7.3.1

Find the determinant of the following matrices.

$A=\left[\begin{array}{rr}1&-34\\ 0&2\end{array}\right]$
$B=\left[\begin{array}{rrr}4&0&0\\ 3&-2&0\\ 14&1&5\end{array}\right]$
$C=\left[\begin{array}{rrrr}2&3&15&0\\ 0&4&1&7\\ 0&0&-3&5\\ 0&0&0&1\end{array}\right]$

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Adapted from Matrix Theory and Linear Algebra © 2017–2026 Peter Selinger, Lyryx Learning, and Ken Kuttler. Licensed under CC BY 4.0. Source: Matrix Theory and Linear Algebra. Imported at revision d74bc3a.