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Engineering Mathematics Question

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  • tanpantheon1's Avatar
    35 posts since Nov '15
    • Hi

      This is a question that appeared in my mid-semester test and I would like someone to explain it to me. Thanks in advance.

      Given that the matrices A, B and X are m x m order and (I_m) is the identity matrix.

      Solve for matrix X, the equation:

      AX - BA = (I_m)

      Edit: Matrix A, B and X are of m x m order

      Edited by tanpantheon1 02 Jun `17, 2:51PM
  • MyPillowTalks's Avatar
    19,955 posts since Nov '06
    • Hello

      It has been some time since I did engineering maths, I am quite rusty.

      • Can I know if there are any values for Matrices A and B?
      • Is this question asked in a general scenario?
      • What level (Nitec/Higher Nitec/Diploma/Degree?) of engineering maths is this question aimed at?
      • My solution is as follows, may not be right/what you are looking for.
      • I tried on MATLAB using a few "randomly made up" matrices for A and B, and i solved for X using my solution. The value of X that i found agrees with the equation (AX - BA = I_m) given in the question.

       

      Edited by MyPillowTalks 04 Jun `17, 7:31AM
  • tanpantheon1's Avatar
    35 posts since Nov '15
    • None of the matrices are given

      It is given to me that they are of m x  m order but they are not given,

      Yes this is a very general question but it is in my Mid Sem exam in EEE diploma

    • And thank you so much !

      That was the solution that I was looking for !

  • MyPillowTalks's Avatar
    19,955 posts since Nov '06
    • No problem

      I guess the question wants to test the student's knowledge on manipulating matrix equations, and wants the students to know that a matrix cannot be "divided", and have to use the inverse property.

      I have added in some more details and fit the document into a single page pdf file and it can be downloaded here

      Edited by MyPillowTalks 05 Jun `17, 9:46PM
  • Online Assignment Helper's Avatar
    1 post since Jun '17
  • iamsea's Avatar
    1 post since Sep '17
  • MyPillowTalks's Avatar
    19,955 posts since Nov '06
    • In case you specialise in power Engineering in SP EEE, I wrote a solution for one of the past year questions recently.

      Verify with your lecturer on the accuracy of my solutions, hopefully my approach fits his requirements. icon_lol.gif

       

      Edited by MyPillowTalks 06 Sep `17, 7:37PM
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