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Master Determinants Using Cramer's Rule & Adjoint Matrix
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Learn about determinants using Minors and Cofactors, solve linear equations with Cramer's Rule, and explore the Adjoint Matrix concept in Engineering Analysis. Example calculation included.
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Master Determinants Using Cramer's Rule & Adjoint Matrix
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Presentation Transcript
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: Transform the linear system into coefficient matrix:
Example: Find the Determinant of the matrix using the cofactor theorem =8 - 1 = 7
7 + (-10) + (-12) = -15 Determinant of A = -15
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