![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)]
![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
![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
![SOLVED: (20 Points) Two n X n matrices A and B are said to commute if AB = BA. Find all matrices (a a) which commute with the matrix (o 1) SOLVED: (20 Points) Two n X n matrices A and B are said to commute if AB = BA. Find all matrices (a a) which commute with the matrix (o 1)](https://cdn.numerade.com/ask_images/386da68e32f04d49be455bed5333c6e9.jpg)
SOLVED: (20 Points) Two n X n matrices A and B are said to commute if AB = BA. Find all matrices (a a) which commute with the matrix (o 1)
![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 =
![Matrices. A matrix, A, is a rectangular collection of numbers. A matrix with “m” rows and “n” columns is said to have order m x n. Each entry, or element, - ppt download Matrices. A matrix, A, is a rectangular collection of numbers. A matrix with “m” rows and “n” columns is said to have order m x n. Each entry, or element, - ppt download](https://images.slideplayer.com/25/7841616/slides/slide_9.jpg)
Matrices. A matrix, A, is a rectangular collection of numbers. A matrix with “m” rows and “n” columns is said to have order m x n. Each entry, or element, - ppt download
![SOLVED: #Problem A.28 Functions of matrices are defined by their Taylor series expansions; for example, M=I+M+ im? Gm' 4 - [A.91] (a) Find exp(M) , if M = (ii) M= (b) Show SOLVED: #Problem A.28 Functions of matrices are defined by their Taylor series expansions; for example, M=I+M+ im? Gm' 4 - [A.91] (a) Find exp(M) , if M = (ii) M= (b) Show](https://cdn.numerade.com/ask_images/285cc0bff42244b5a3657a6396ce4e63.jpg)