Formula

Determinant of the inverse

|A^{-1}| = \frac{1}{|A|}

$|A|$: the determinant of A

The determinant of the inverse is the reciprocal of the determinant, which follows from taking determinants of A times its inverse.

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#1NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
Strategy Concept notes
#2CBSE Class 12 → Mathematics → Determinants → Adjoint and Inverse of a Matrix
#3NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
Strategy Concept notes
#4CBSE Class 12 → Mathematics → Determinants → Determinant and its Properties
#5NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
Strategy Concept notes
#6NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
Strategy Concept notes
#7NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
Strategy Concept notes
#8NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
Strategy Concept notes
#9NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
Strategy Concept notes
#10NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
Strategy Concept notes
#11NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
Strategy Concept notes
#12NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
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Set · 1 question
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.
- #13NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
  Strategy Concept notes
#14NDA → Mathematics → Matrices & Determinants → Determinant Properties, Operations, and Sums
Strategy Concept notes
#15CBSE Class 12 → Mathematics → Determinants → Determinant and its Properties
#16CBSE Class 12 → Mathematics → Determinants → Adjoint and Inverse of a Matrix
#17CBSE Class 12 → Mathematics → Determinants → Determinant and its Properties
#18CBSE Class 12 → Mathematics → Determinants → Adjoint and Inverse of a Matrix
#19NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
Strategy Concept notes
#20NDA → Mathematics → Matrices & Determinants → Cofactors, Adjoint, and Inverse
Strategy Concept notes
#21CBSE Class 12 → Mathematics → Determinants → Adjoint and Inverse of a Matrix

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