Elementary Row Operations for Matrix Determinant

[Lime]

Use elementary row operations to evaluate the determinant of the following matrix:

2 3 2 2
1 1 1 1
3 3 4 2
4 4 4 6

What is the quickest method for this? The only way I know how to do this would take me an eternity.

 

[stapel]

What is the quickest method for this?

Other than plugging this into your calculator? Probably elementary row operations.

Eliz.

 

[Lime]

What does that mean though? How do I go about doing that?

 

[stapel]

What does that mean though?

How did you get the determinants without ever having worked with matrices...? :shock:

Since we cannot teach the requested lesson(s) within this context, please study some of the lessons available online. Row operations for matrices are nearly the same as for determinants, so you can start by studying matrix row ops. Just make sure you study at least one lesson on determinant row ops, so you get the extra info.

Once you have studied some lessons and have learned the basic terms and techniques, please attempt this exercise. If you get stuck, please reply showing your steps. Thank you.

Eliz.