The three types of matrix row operations
The three types of matrix row operations
Lessons
Notes:
The first type of matrix row operation is that we are allowed to switch any rows you want. For example,
We interchanged the row 1 and row 3. Another way of saying this is $R_1\leftrightarrow R_3$.
The second type of matrix row operation is that we can multiply a row by a nonzero constant. For
example,
We multiplied each entry in row 1 by 3. Another way of saying this is $3R_1\leftrightarrow R_3$.
The third type of matrix row operation is that were allowed to add and subtract a row with another. For example,
Row 2 is the sum of row 2 and 1. Another way of saying this is $R_1+R_2$→$R_2$.

2.
One matrix row operation
You are given the following matrix
Perform the following matrix operations: 
3.
More than one matrix row operation
You are given the following matrix
Perform the following matrix operations: