5.2. Adjoint of a Square Matrix

Introduction

  • What is an Adjoint? The adjoint of a square matrix, often denoted as adj(A), is the transpose of the matrix of cofactors of A.

Adjoint of a Matrix | Math Explanation

\[\Large \text{adj}(A) = C^T\]


  • In the above formula,
    • adj(A) – Adjoint of A
    • CT – Transpose of the Cofactor Matrix of A
  • Why is it Important? The adjoint is essential in matrix algebra, especially for finding the inverse of a matrix and solving systems of linear equations.

What is the transpose of the cofactor matrix called?

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