Lecture - Linear Algebra MT22, I

Flashcards

How many elementary row operations are there?

What is the first elementary row operation?

Swapping two rows.

What is the second elementary row operation?

Multiplying by a non-zero scalar.

What is the third elementary row operation?

Adding one row to another.

@Define Gauss elimination.

The process of systematically using EROs to introduce zeroes into the lower triangle.

@Define Gauss-Jordan elimination.

Like Gauss elimination except you also make the upper triangle zeroes.

When is it necessary to use the first ERO (swapping the rows)?

When it’s not possible to make a zero using the other rows.