How Do Row Operations Simplify Calculating a 4x4 Determinant?

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SUMMARY

The discussion focuses on calculating the determinant of a 4x4 matrix using row operations to simplify the process. The matrix provided is A = [3 2 4 3; 2 -1 2 -2; 1 2 0 -2; -2 -5 -5 -4]. Participants emphasize the importance of understanding how row and column operations influence determinants, suggesting that this knowledge can streamline the calculation before applying the expansion by minors method. It is noted that this concept should be covered in standard textbooks or course notes.

PREREQUISITES
  • Understanding of matrix operations
  • Familiarity with determinants and their properties
  • Knowledge of expansion by minors
  • Basic linear algebra concepts
NEXT STEPS
  • Study the effects of row operations on determinants
  • Practice calculating determinants of 4x4 matrices using expansion by minors
  • Explore linear algebra textbooks for detailed explanations on determinants
  • Learn about alternative methods for calculating determinants, such as LU decomposition
USEFUL FOR

Students studying linear algebra, mathematics educators, and anyone looking to enhance their understanding of determinants and matrix operations.

teng125
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A=[3 2 4 3 ;2 -1 2 -2 ; 1 2 0 -2 ;-2 -5 -5 -4]

can smby pls show me how to perform this determinants pls

thanx
 
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You need to expand by minors...

You probably won't get much more help without showing some working.
 
Do you know how row (or column) operations affect determinants? This can greatly simply things before you expand. Should be in your textbook or notes.
 

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