How Do Row Operations Simplify Calculating a 4x4 Determinant?

AI Thread Summary
Row operations can simplify the calculation of a 4x4 determinant by transforming the matrix into a more manageable form before expanding by minors. Understanding how these operations affect the determinant is crucial, as they can make calculations easier and reduce the risk of errors. It's recommended to refer to textbooks or notes for specific rules regarding row and column operations. Providing initial work on the determinant calculation can help others offer more targeted assistance. Mastering these techniques will enhance efficiency in solving determinants.
teng125
Messages
416
Reaction score
0
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
 
Physics news on Phys.org
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.
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
Back
Top