Question

Find the adjoint and inverse if exists of the following matrices :
0 8 2
3 9 5
6 0 6​

Answer 1

Answer:

Definition of Adjoint of a Matrix

The adjoint of a square matrix A = [aij]n x n is defined as the transpose of the matrix [Aij]n x n, where Aij is the cofactor of the element aij. Adjoing of the matrix A is denoted by adj A.

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Example 1

Find the adjoint of the matrix:

Solution: We will first evaluate the cofactor of every element,

Therefore,