[2 31 Given A =1 1, B = [4 2) [1 21 1.D = [3 1 2), find 14 (a) A+2B (b) ВС (c) AC (d) DD' (e) D'D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
3
31
1. Given A = 1 1, B = |0
[1
D = [3 1 2), find
14
(a) A+2B
(b) BC
(c) AC
(d) DD'
(e) D'D
2. Noting that the three equations y; = Bo +B1x;1 +u;, i=1,2,3 can be written in matrix form as
[1 X11
(Y2
1 X21
Bo
Uz
X31
write the four equations y; = Ba +B1xi1+B2x;2 +u;, i=1,2,3,4 in matrix form.
Transcribed Image Text:31 1. Given A = 1 1, B = |0 [1 D = [3 1 2), find 14 (a) A+2B (b) BC (c) AC (d) DD' (e) D'D 2. Noting that the three equations y; = Bo +B1x;1 +u;, i=1,2,3 can be written in matrix form as [1 X11 (Y2 1 X21 Bo Uz X31 write the four equations y; = Ba +B1xi1+B2x;2 +u;, i=1,2,3,4 in matrix form.
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