Linear algebra: please solve q5 and 6 correctly and handwritten The matrices and vectors listed in Eq. (3) are used inseveral of the exercises that follow.3 1--B4 7A =26214061352420-C =U=121743601D36*= [23] P-[¦¦]·E1-[B]+[C]=1[24]-33Exercises 1-25 refer to the matrices and vectors inEq. (3). In Exercises 1-6, perform the multiplicationsto verify the given equality or nonequality.1. (DE)F = D(EF)2. (FE)D = F(ED)3. DE ED4. EF # FE5. Fu = Fv6.3Fu = 7Fv

Answered: Image /qna-images/answer/961dc882-0f49-4d0e-a5dd-295df397c1ae.jpg

Answered: 36 *-[23] ²-[¦ ¦]- *=[8]; E = F 1 -[B)…

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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Linear algebra: please solve q5 and 6 correctly and handwritten

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

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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