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## Cramer's Rule, Inverse Matrix, and Volume

Cramer's Rule, Inverse Matrix, and Volume

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Part of video series Linear Algebra Course acquired through MIT OpenCourseWare

Gilbert Strang, 18.06 Linear Algebra, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 22, 2008). License: Creative Commons BY-NC-SA.

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More info at: http://ocw.mit.edu/terms

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Cramer's Rule, Inverse Matrix, and Volume -- Lecture 20. Using Cramer's Rule, determinants and finding inverses and the volume of a box with matrices.

- What is Cramer's Rule?
- How do you find the inverse of a matrix?
- How do you find volume of a box with a matrix?
- What is a formula for A inverse?

The final lecture on determinants. Finally, determinants are used in an application of finding the volume of a box with determinants. Cramer’s Rule is introduced, and inverses and determinants are used in applications of real-world problems.