The matrices and vectors listed in Eq. (3) are used in several of the exercises that follow. 31 -D-D 4 7 B= = 743 26 A = C c=| 2140 6135 24 20 121 601 D = 21 4 36 E = *-[23] *-[¦¦]; -3 -[A] +[B] = 3 Exercises 1-25 refer to the matrices and vectors in Eq. (3). In Exercises 1-6, perform the multiplications to verify the given equality or nonequality. 1. (DE)F = D(EF) 2. (FE)D = F(ED) 3. DE ED 4. EF # FE 5. Fu = Fv 6. 3 Fu = 7Fv

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The matrices and vectors listed in Eq. (3) are used in
several of the exercises that follow.
3 1
--B
4 7
A =
26
2140
6135
2420
-
C =
U=
121
743
601
D
36
*=[23] P-[¦¦]·
E
1
-[B]+[C]
=
1
[24]
-3
3
Exercises 1-25 refer to the matrices and vectors in
Eq. (3). In Exercises 1-6, perform the multiplications
to verify the given equality or nonequality.
1. (DE)F = D(EF)
2. (FE)D = F(ED)
3. DE ED
4. EF # FE
5. Fu = Fv
6.3Fu = 7Fv
Transcribed Image Text:The matrices and vectors listed in Eq. (3) are used in several of the exercises that follow. 3 1 --B 4 7 A = 26 2140 6135 2420 - C = U= 121 743 601 D 36 *=[23] P-[¦¦]· E 1 -[B]+[C] = 1 [24] -3 3 Exercises 1-25 refer to the matrices and vectors in Eq. (3). In Exercises 1-6, perform the multiplications to verify the given equality or nonequality. 1. (DE)F = D(EF) 2. (FE)D = F(ED) 3. DE ED 4. EF # FE 5. Fu = Fv 6.3Fu = 7Fv
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