MHB How Do You Calculate the Determinant of a Matrix in Linear Algebra?

[Chipset3600]

Hello guys, can someone help me with this question please?

View attachment 335

 

[pickslides]

The answer could be -30.

This article may be helpful

http://science.kennesaw.edu/~plaval/math3260/det2.pdf

 

[CaptainBlack]

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]

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!