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Another matrix question

  1. May 30, 2005 #1
    They do not seem to mention this case in the book, but if they say A is an augmented 3x5 matrix, then does it look like the following?

    1 0 0 0 0 | 0
    0 1 0 0 0 | 0
    0 0 1 0 0 | 0

    or

    1 0 0 0 | 0
    0 1 0 0 | 0
    0 0 1 0 | 0

    I'm a bit confused. If they say 6 columns that includes the constants columns as well?

    So another example, this matrix is 2x3?

    1 0 | 0
    0 1 | 0
     
  2. jcsd
  3. May 30, 2005 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Yes- when referring to an "augmented matrix", the "count" of columns includes the "augmented" column. That is:
    1 0 0 0 | 0
    0 1 0 0 | 0
    0 0 1 0 | 0
    is "3 x5"- 3 rows, 5 columns.
    and
    1 0 | 0
    0 1 | 0
    is "2 x3".

    1 0 0 0 0 | 0
    0 1 0 0 0 | 0
    0 0 1 0 0 | 0
    would be "3x 6", not "3x 5".
     
  4. May 30, 2005 #3
    Thanks for the clarification :)
     
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