Find the Adjoint matrix of the matrix

Engineering

Mathematics

Introduction to Determinants

Question

Find the Adjoint matrix of the matrix $∣ \begin{array}{ccc} 1 & 2 & 3 \\ 2 & 3 & 2 \\ 3 & 3 & 4 \end{array} ∣$

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Given matrix:

A = [\begin{array}{ccc} 1 & 2 & 3 \\ 2 & 3 & 2 \\ 3 & 3 & 4 \end{array}]

Cofactor matrix:

cof (A) = [\begin{array}{ccc} 6 & - 2 & - 3 \\ 1 & - 5 & 3 \\ - 5 & 4 & - 1 \end{array}]

Adjoint matrix is the transpose of the cofactor matrix:

adj (A) = [\begin{array}{ccc} 6 & 1 & - 5 \\ - 2 & - 5 & 4 \\ - 3 & 3 & - 1 \end{array}]

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