Formula

Determinant of a product

|AB| = |A|\,|B|

$|A|$: the determinant of A

The determinant of a product is the product of the determinants, which also shows that determinants commute even when the matrices do not.

questions use it

of them past-year

2017–2026

years it has appeared

22%

rated HARD

exams

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#1NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
Strategy Concept notes
#2NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
Strategy Concept notes
#3CBSE Class 12 → Mathematics → Determinants → Determinant and its Properties
#4NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
Strategy Concept notes
#5NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
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#6NDA → Mathematics → Matrices & Determinants → Matrix Operations, Polynomials, and Equations
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#7NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
Strategy Concept notes
#8NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
Strategy Concept notes
Set · 2 questions
Consider the following for the next 02 (two) items: Let A and B be (3×3) matrices with det A = 4 and det B = 3.
- #9NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
  Strategy Concept notes
- #10NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
  Strategy Concept notes
#11NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
Strategy Concept notes
#12CBSE Class 12 → Mathematics → Determinants → Determinant and its Properties
#13CBSE Class 12 → Mathematics → Determinants → Determinant and its Properties
#14NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
Strategy Concept notes
#15NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
Strategy Concept notes
#16NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
Strategy Concept notes
#17NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
Strategy Concept notes
#18NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
Strategy Concept notes

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