AI Tutor
Back to Determinants

Exercise 8

Avg difficulty 2.5

Provide a justification for your responses to the following questions.

  1. If every entry in one row of a matrix is zero, what can you say about the determinant?

  2. If two rows of a square matrix are identical, what can you say about the determinant?

  3. If two columns of a square matrix are identical, what can you say about the determinant?

  4. If one column of a matrix is a linear combination of the others, what can you say about the determinant?

Austin, Understanding Linear Algebra, §3.4 Determinants, Exercise 8

AI Tutor

Adapted from Understanding Linear Algebra © 2023 David Austin. Licensed under CC BY 4.0. Source: Understanding Linear Algebra. Imported at revision 3e6dced.