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Linear Algebra- Determinant

Chipset3600

Member
Feb 14, 2012
79
Hello guys, can someone help me with this question please?

determinnte.png
 

CaptainBlack

Well-known member
Jan 26, 2012
890
The answer could be -30.

This article may be helpful

http://science.kennesaw.edu/~plaval/math3260/det2.pdf
What the linked document says about row operations also applies to column operations as the determinant of the transpose is equal to the determinant. It is both row and coumn operations that are needed here (or switching between the matrix and its transpose, which is the same thing).

CB
 

Chipset3600

Member
Feb 14, 2012
79
pickslides and CaptainBlack, the problem was that i throug the theorem of Jacobi was only for rows, than i was thinking how he got the "5" in second column. thank you guys!