Transpose and Conjugate Transpose Example (AB)T=BTAT, (AB)H=BHAH. Why do we have to reverse the order of the factors when the transpose is pulled inside the product AB? Why isn't (AB)T=ATBT? 命电有这女 Matrix Theory Matrix Transposition and Related -8/30
Transpose and Conjugate Transpose Example (AB) T = B T A T , (AB) H = B HA H . ▸ Why do we have to reverse the order of the factors when the transpose is pulled inside the product AB? ▸ Why isn’t (AB) T = A T B T ? Matrix Theory Matrix Transposition and Related - 8/30
Transpose and Conjugate Transpose Example (AB)T=BTAT, (AB)H=BHAH. Why do we have to reverse the order of the factors when the transpose is pulled inside the product AB? Why isn't (AB)=ATBT? One of the reasons is that one of the products may not be defined. 命电有这女 Matrix Theory Matrix Transposition and Related -8/30
Transpose and Conjugate Transpose Example (AB) T = B T A T , (AB) H = B HA H . ▸ Why do we have to reverse the order of the factors when the transpose is pulled inside the product AB? ▸ Why isn’t (AB) T = A T B T ? One of the reasons is that one of the products may not be defined. Matrix Theory Matrix Transposition and Related - 8/30
Transpose and Conjugate Transpose Example (AB)T=BTAT, (AB)H=BHAH. Why do we have to reverse the order of the factors when the transpose is pulled inside the product AB? Why isn't (AB)=ATBT? One of the reasons is that one of the products may not be defined. If A=()®-() 奇电有这头 Matrix Theory Matrix Transposition and Related -8/30
Transpose and Conjugate Transpose Example (AB) T = B T A T , (AB) H = B HA H . ▸ Why do we have to reverse the order of the factors when the transpose is pulled inside the product AB? ▸ Why isn’t (AB) T = A T B T ? One of the reasons is that one of the products may not be defined. If A = ( 1 1 1 1 ) , B = ( 1 1 ) , Matrix Theory Matrix Transposition and Related - 8/30
Transpose and Conjugate Transpose Example (AB)T=BTAT, (AB)H=BHAH Why do we have to reverse the order of the factors when the transpose is pulled inside the product AB? Why isn't (AB)=ATBT? One of the reasons is that one of the products may not be defined. If A=(})8(1) (AB)T=（22), 奇电有这头 Matrix Theory Matrix Transposition and Related -8/30
Transpose and Conjugate Transpose Example (AB) T = B T A T , (AB) H = B HA H . ▸ Why do we have to reverse the order of the factors when the transpose is pulled inside the product AB? ▸ Why isn’t (AB) T = A T B T ? One of the reasons is that one of the products may not be defined. If A = ( 1 1 1 1 ) , B = ( 1 1 ) , (AB) T = ( 2 2 ) , Matrix Theory Matrix Transposition and Related - 8/30
Transpose and Conjugate Transpose Example (AB)T=BTAT, (AB)H=BHAH Why do we have to reverse the order of the factors when the transpose is pulled inside the product AB? .Why isn't (AB)=ATBT? One of the reasons is that one of the products may not be defined. If A=(})B=(1)月 (AB)T=(22), while the product ATBT is not defined. 务电这头子 Matrix Theory Matrix Transposition and Related -8/30
Transpose and Conjugate Transpose Example (AB) T = B T A T , (AB) H = B HA H . ▸ Why do we have to reverse the order of the factors when the transpose is pulled inside the product AB? ▸ Why isn’t (AB) T = A T B T ? One of the reasons is that one of the products may not be defined. If A = ( 1 1 1 1 ) , B = ( 1 1 ) , (AB) T = ( 2 2 ) , while the product A T B T is not defined. Matrix Theory Matrix Transposition and Related - 8/30