![Matrix Multiplication Commutative condition | The Matrices commute under multiplication if - YouTube Matrix Multiplication Commutative condition | The Matrices commute under multiplication if - YouTube](https://i.ytimg.com/vi/gWoqxrKmws4/maxresdefault.jpg)
Matrix Multiplication Commutative condition | The Matrices commute under multiplication if - YouTube
![If the matrices A=[(1,2),(3,4)] and B=[(a,b),(c,d)] (a,b,cd not all simultaneously zero) commute, find the value of (d-b)/(a+b-c). Also show that the matrix which commutes with A is of the form [(alpha-beta,(2beta)/3),(beta,alpha)] If the matrices A=[(1,2),(3,4)] and B=[(a,b),(c,d)] (a,b,cd not all simultaneously zero) commute, find the value of (d-b)/(a+b-c). Also show that the matrix which commutes with A is of the form [(alpha-beta,(2beta)/3),(beta,alpha)]](https://d10lpgp6xz60nq.cloudfront.net/q-thumbnail/2195636.png)
If the matrices A=[(1,2),(3,4)] and B=[(a,b),(c,d)] (a,b,cd not all simultaneously zero) commute, find the value of (d-b)/(a+b-c). Also show that the matrix which commutes with A is of the form [(alpha-beta,(2beta)/3),(beta,alpha)]
![SOLVED: In general, matrix multiplication is not commutative; that is AB / BA But there are cases where matrices commute: In lecture I've mentioned that AI IA = Aand AA-1 A-1 A = SOLVED: In general, matrix multiplication is not commutative; that is AB / BA But there are cases where matrices commute: In lecture I've mentioned that AI IA = Aand AA-1 A-1 A =](https://cdn.numerade.com/ask_images/3e685c864c8c42e5819aa5091f2b1c3b.jpg)
SOLVED: In general, matrix multiplication is not commutative; that is AB / BA But there are cases where matrices commute: In lecture I've mentioned that AI IA = Aand AA-1 A-1 A =
![linearly independent commuting $2\times 2$ complex matrices (Hoffman Kunzze, Linear algebra, 6.5.2) - Mathematics Stack Exchange linearly independent commuting $2\times 2$ complex matrices (Hoffman Kunzze, Linear algebra, 6.5.2) - Mathematics Stack Exchange](https://i.stack.imgur.com/Ck0tH.jpg)
linearly independent commuting $2\times 2$ complex matrices (Hoffman Kunzze, Linear algebra, 6.5.2) - Mathematics Stack Exchange
![The commuting transfer matrix and spectral parameter (Appendix C) - Thermodynamics of One-Dimensional Solvable Models The commuting transfer matrix and spectral parameter (Appendix C) - Thermodynamics of One-Dimensional Solvable Models](https://static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Abook%3A9780511524332/resource/name/firstPage-9780511524332apx3_p231-234_CBO.jpg)