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Exercise 7.2.3

Avg difficulty 3.0

Compute the determinants of the following matrices using cofactor expansion along any row or column.

  1. [1203−22031]\left[\begin{array}{rrr}1&2&0\\ 3&-2&2\\ 0&3&1\\ \end{array}\right]

  2. [1−22300431]\left[\begin{array}{rrr}1&-2&2\\ 3&0&0\\ 4&3&1\\ \end{array}\right]

  3. [12−22132340101212]\left[\begin{array}{rrrr}1&2&-2&2\\ 1&3&2&3\\ 4&0&1&0\\ 1&2&1&2\\ \end{array}\right]

Selinger, Matrix Theory and Linear Algebra, Determinants, Minors and cofactors, Exercise 7.2.3

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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.