Asked by May
Demonstrate that matrixes M(2x2) with the sum of matrixes is a vector space.
I am confused. Do i need to demonstrate each propertie (distributive, associative, etc) for the sum of matrixes or I only need to prove that the sum of matrixes results into another matrix, and if so, how do I do it? Thanks for the help
I am confused. Do i need to demonstrate each propertie (distributive, associative, etc) for the sum of matrixes or I only need to prove that the sum of matrixes results into another matrix, and if so, how do I do it? Thanks for the help
Answers
Answered by
oobleck
It should be no problem to demonstrate that the sum of two 2x2 matrices is another 2x2 matrix. The definition of matrix addition guarantees it.
Just review the properties of a vector space and it should be clear that M quialifies.
Just review the properties of a vector space and it should be clear that M quialifies.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.