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# Fundamentals of Engineering Analysis

Determinants. Cramer’s Rule Part 3. Fundamentals of Engineering Analysis . Eng. Hassan S. Migdadi. Adjoint Matrix – Minors and Cofactors . The adjoint matrix of [A], Adj[A] is obtained by taking the transpose of the cofactor matrix of [A]. . Consider the following linear equation:.

## Fundamentals of Engineering Analysis

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### Presentation Transcript

1. Determinants. Cramer’s Rule Part 3 Fundamentals of Engineering Analysis Eng. Hassan S. Migdadi

2. Adjoint Matrix – Minors and Cofactors The adjoint matrix of [A], Adj[A] is obtained by taking the transpose of the cofactor matrix of [A].

3. Consider the following linear equation: Transform the linear system into coefficient matrix:

4. Determinant of a matrix using the Minors and Cofactors

5. Example: Find the Determinant of the matrix using the cofactor theorem =8 - 1 = 7

6. 7 + (-10) + (-12) = -15 Determinant of A = -15

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