2A3. Given the following matrices 23 [031] H [Bijl= 0 5 1 [Cijl= 1 0 2 021 243 Demonstrate the equivalence of the following subscripted equations and the corresponding matrix equations. [a] (a) Dji = Bij [D] = [B]T, (b) b; = B¡¡a¡ [b] = [B][a], (c) c₁ = Bai [c] = [B][a],
2A3. Given the following matrices 23 [031] H [Bijl= 0 5 1 [Cijl= 1 0 2 021 243 Demonstrate the equivalence of the following subscripted equations and the corresponding matrix equations. [a] (a) Dji = Bij [D] = [B]T, (b) b; = B¡¡a¡ [b] = [B][a], (c) c₁ = Bai [c] = [B][a],
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![2A3. Given the following matrices
23
[031]
H
[Bijl= 0 5 1 [Cijl= 1 0 2
021
243
Demonstrate the equivalence of the following subscripted equations and the corresponding
matrix equations.
[a]
(a) Dji = Bij [D] = [B]T,
(b) b; = B¡¡a¡ [b] = [B][a],
(c) cj = Bjai [c] = [B][a],
(d) s = B¡a¡ª¡ s = [a]¹[B][a],
(e) Dik = BijCjk [D] = [B][C],
(f) Dik = BijCkj [D] = [B][C]T.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc6a34c9-459b-4a49-a957-87b50986d2de%2F80c64b36-2cb4-40cd-bc20-42d6a263a2d3%2Fumfzz6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2A3. Given the following matrices
23
[031]
H
[Bijl= 0 5 1 [Cijl= 1 0 2
021
243
Demonstrate the equivalence of the following subscripted equations and the corresponding
matrix equations.
[a]
(a) Dji = Bij [D] = [B]T,
(b) b; = B¡¡a¡ [b] = [B][a],
(c) cj = Bjai [c] = [B][a],
(d) s = B¡a¡ª¡ s = [a]¹[B][a],
(e) Dik = BijCjk [D] = [B][C],
(f) Dik = BijCkj [D] = [B][C]T.
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