An easy way to compute determinants | Linear Algebra - Dr. Ahmad Bazzi #19

An easy way to compute determinants | Linear Algebra - Dr. Ahmad Bazzi  #19

Determinants could be computed by row operations. Indeed, determinants could be exhaustive to compute, but using row operations to obtain an equivalent triangular matrix makes determinant computation way easier. This lecture shows 4 properties that have to do with determinants when using row operations.

Determinants could be computed by row operations. Indeed, determinants could be exhaustive to compute, but using row operations to obtain an equivalent triangular matrix makes determinant computation way easier. This lecture shows 4 properties that have to do with determinants when using row operations.

⏲Outline⏲

  • 00:00 Introduction
  • 00:30 Property 1: A determinant is a linear function of each row separately
  • 02:35 Property 2: Zero determinant with two equal rows
  • 03:01 Property 3: Flipping rows flips sign of determinant
  • 03:58 Property 4: Unchanged determinant under row operations

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