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Determinants and Systems of Linear Equations
Applied Mathematics · Chapter 4 · Unit 2: Algebra
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- Determinant of a square matrix up to 3 x 3; minors, cofactors and expansion
- Applications: area of a triangle and collinearity of three points
- Adjoint and inverse of a square matrix (2 x 2 and 3 x 3); properties of the adjoint and inverse
- Solving linear equations in two or three variables by the matrix method X = A^-1 B
- Cramer's rule; consistency, inconsistency and number of solutions