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Calculate Determinant with Minors and Cofactors

Learn how to find the determinant of a matrix using the Minors and Cofactors method. Explore an example to grasp the concept effectively.

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Calculate Determinant with Minors and Cofactors

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  1. DETERMINANT

  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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