Row Operations and Augmented Matrices

Question 1

What is an Augmented Matrix?

Answer 1

A matrix that consists of the coefficient and constant terms of a system of linear equations.

Question 2

What are Elementary Row Operations?

Answer 2

> Can switch any two rows.
Can multiply a row by a nonzero constant.
Can replace a row with a sum or difference of the row and another row.
Can combine these operations.

Question 3

What is Reduced Row-Echelon Form?

Answer 3

|1 0 : ? | -> 1x=?

|0 1 : ?? | -> 1y=?

Question 4

When can a system not be solved?

Answer 4

When the values equate to something that it impossible. (I.E.: | 0 0 : 3 |)