ECO 3145 Lecture : Lecture 0.pdf
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4. 1 4. 6, 5. 1 5. 5 linear equation system: , where a is an matrix of coefficients, Non-singularity: if a does not have an inverse, then it is said to be singular if a does have an inverse, then it is said to be non-singular. Solve using laplace expansion. 2 test for non-singularity: finding an inverse matrix: 1 page references to the text are given as follows: p. xx (p. zz). The first reference is for the hardcover of the fourth edition, the second reference (small font) is to the third edition. 89-91 (pp. 94-95), chiang describes a method of cross-diagonal multiplication for evaluating the determinant of a 3x3 matrix. This method is not recommended, as it only works for a 3x3 matrix. Laplace expansion works for any matrix 3x3 or greater. On the quiz, students will be tested on laplace expansion.