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# Matrix_5 - Matrix Determinants Objectives At the end of...

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Matrix Determinants 1 Please read your test for the 3×3 instances. I cannot write it any better. © Arizona State University, Department of Mathematics and Statistics 1 of 3 Objectives: At the end of this lesson, you should be able to: 1. Create a matrix determinant from a system or matrix . 2. Calculate the determinant for 2×2 and 3×3 matrices 1 . Background By now I’m sure you know that matrices are not numbers. However there is a number associated with each square matrix. It even has a use! This number, called the determinant, has application in finding area, volumes and such in three dimensional situations. Your text has both an explanation and examples of that. However, these are less useful for the business world than in science. Nonetheless, finding a determinant is a skill the Business School wants you to acquire. Determinants Defined We define the determinant of a 2×2 matrix as the curiously crossed product . 11 12 21 22 a a a a 11 22 12 21 a a a a - Our symbols for the determinant are . It’s your choice. 11 12 21 22 det( ) a a A A a a = = The symbol looks like an absolute value symbol, but in the context of a discussion, there should not be any confusion. Also, please notice that is an array of numbers, while is definitely a number. Do not 11 12 21 22 a a a a 11 12 21 22 a a a a intermix them! We have special vocabulary related to the value of the determinant.

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Matrix_5 - Matrix Determinants Objectives At the end of...

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