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Thread: Linear systems in matrix notation

  1. #1

    Linear systems in matrix notation

    Question:

    dx/dt= x-y

    dy/dt= x+27

    dz/dt= -x+z

    Write in matrix notation

    Solution:

    x
    if X={y}
    z

    1 -1 0
    X'= {1 0 0 } X + {27}
    -1 0 1

    Did I do this correctly?

    Cheers.

  2. #2
    Elite Member stapel's Avatar
    Join Date
    Feb 2004
    Posts
    15,521

    Cool

    Quote Originally Posted by promitheus View Post
    Question:

    dx/dt= x-y

    dy/dt= x+27

    dz/dt= -x+z

    Write in matrix notation

    Solution:

    x
    if X={y}
    z

    1 -1 0
    X'= {1 0 0 } X + {27}
    -1 0 1

    Did I do this correctly?
    Unfortunately, since the back-end forum script does not preserve space-based formatting, it's kinda hard to tell. You can use "code" tags to set formatting, such as this:

    Code:
    matrix:
    
         --       --
         |  1 -1 0 |
    X' = |  1  0 0 |
         | -1  0 1 |
         --       --
    Note: I put the "matrix" at the beginning because the forum strips out any initial spaces. By putting a label at the beginning, I remove that formatting issue.

    You can also use standard web-safe formatting, such as is explained here.

    . . . . .X' = [[1 -1 0][1 0 0][-1 0 1]]

    Please reply with a corrected statement of your post. Thank you!

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