Linear Algebra. Lecture 4

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Linear Algebra
Lecture 4
Determinants
3.1 Introduction to Determinants.
3.2 Properties of Determinants.
3.3 Cramers’s Rule, Volume and Linear Transformations

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Learning Objectives:
1. Finding determinants of 3×3 or higher matrices
2. Another method of finding determinants of 3×3 matrices
3. Properties related to row operations
4. Deciding invertible matrices depend on determinant
5. Adjugate of A and how to find variables with Cramer’s rule
6. Finding area and volume

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3.1. Introduction to Determinants.

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Another method of finding determinant of 3×