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 R1R3R_1\leftrightarrow R_3.

The second type of matrix row operation is that we can multiply a row by a non-zero constant. For example,



We multiplied each entry in row 1 by 3. Another way of saying this is 3R1R33R_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 R1+R2R_1+R_2 R2 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:
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The three types of matrix row operations

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