Write down the tensor expression for the following matrix operations. Where A,B are 3 × 3, C is 3 × 4, and D is 4 × 7 matrices. And for a matrix M, its i-th row j-th column component will be denoted as M_ij . (a) det(A · B^T ). (b) Tr[A · B]. (c) B · C · D, and explicitly spell out all the index summation. (d)δ_ii =? (e) ϵ_ijkϵ_ijk =?
Write down the tensor expression for the following matrix operations. Where A,B are 3 × 3, C is 3 × 4, and D is 4 × 7 matrices. And for a matrix M, its i-th row j-th column component will be denoted as M_ij . (a) det(A · B^T ). (b) Tr[A · B]. (c) B · C · D, and explicitly spell out all the index summation. (d)δ_ii =? (e) ϵ_ijkϵ_ijk =?
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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Write down the tensor expression for the following matrix operations. Where A,B are 3 × 3, C is 3 × 4, and D is 4 × 7 matrices. And for a matrix M, its i-th row j-th column component will be denoted as M_ij .
(a) det(A · B^T ).
(b) Tr[A · B].
(c) B · C · D, and explicitly spell out all the index summation.
(d)δ_ii =?
(e) ϵ_ijkϵ_ijk =?
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