Home > Homework Forum

# Engineering Mathematics Question

• 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

• 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.  • 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 !

• 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

• .

• .

• 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.  • I also believe that this task is aimed at testing knowledge on the manipulation of matrix equations. To solve matrix, I sometimes use the Wolfram Alpha application or website https://assignment.essayshark.com/math-help.html to get a more detailed explanation of a particular action in a real example, or just check the validity of my solutions.

• Thanks.

• Interesting kind of solution...

• è¯·é—®ä½ ä¸ºä»€ä¹ˆä¸�è¦�é—®ä½ å­¦æ ¡çš„è€�å¸ˆï¼Œå��è€Œé—®è¿™é‡Œçš„äººå¦‚ä½•è§£ç­”ä½ æ‰€é�¢å¯¹çš„éš¾é¢˜ï¼Ÿè€�å¸ˆæ˜¯æ•™ä½ é‚£äº›çŸ¥è¯†çš„äººï¼Œæ‰€ä»¥ä»–æœ€æœ‰èµ„æ ¼å¸®åŠ©ä½ è§£ç­”éš¾é¢˜ï¼Œç„¶è€Œè¿™é‡Œçš„äººæ‡‚ä»€ä¹ˆï¼Ÿè¿™é‡Œçš„äººéƒ½æ˜¯ä¸´æ—¶æ‰¾ç­”æ¡ˆå¸®ä½ è§£ç­”éš¾é¢˜çš„ï¼Œæ‰€ä»¥ä»–ä»¬ç»™çš„ç­”æ¡ˆå�³ä½¿æ­£ç¡®ä¹Ÿæœªå¿…æ˜¯æœ€å¥½çš„æ–¹æ¡ˆã€‚æœ€å¥½è¿˜æ˜¯é—®å­¦æ ¡çš„è€�å¸ˆæ¯”è¾ƒå¥½ï¼Œå› ä¸ºä»–ä»¬æ€Žä¹ˆè¯´æ˜¯æ•™ä½ é‚£äº›çŸ¥è¯†çš„äººï¼Œè€Œåˆ¶ä½œè€ƒè¯•é¢˜ç›®å’Œæ”¹è€ƒå�·çš„äººä¹Ÿæ˜¯ä»–ä»¬ã€‚

å¦‚æžœé�‡åˆ°éš¾é¢˜ï¼Œå°±é—®å­¦æ ¡è€�å¸ˆå�§ã€‚Thatâ€™s what the tutorial session is for. Before the tutorial session, do the tutorial questions. Then as and when you encounter difficulty when doing the questions, you make a mark on those questions and ask your lecturer for help during the tutorial session.