BSNS102 Study Guide - Final Guide: Superscalar Processor, Parallelepiped, Parallelogram

• School: University of Otago
• Department: Business Studies
• Course: BSNS102
• Professor: Drew Stelljes

Document Summary

As an example, let"s rewrite the equation for a 3 3 determinant: As you can imagine, the complexity of equations for determinants of higher degree grows expo- nentially. Luckily, we can perform an operation known as pivoting, which does not affect the value of the determinant but causes a particular row or column to be filled with zeros, except for a single element (the pivot element). Then only one cofactor has to be evaluated. A complete dis- cussion of pivoting is outside the scope of this book. Some important characteristics concerning determinants are: n the determinant of a matrix product is equal to the product of the determinants: 129 n exchanging any pair of rows (or pair of columns) negates the determinant. n adding any nonzero multiple of a row/column to another row/column does not change the value of the determinant. The determinant of a matrix has an interesting geometric interpretation.