The matrices and vectors listed in Eq. (3) are used in several of the exercises that follow. A = C = 여 3 1 4 7 26 U= 2140 6135 2420 36 E *=[28] 3 1 [3] B 121 743 601 V = D *-[88]; ] -3 1 [24] 3

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 q14, 17 and 20 handwritten. Values are attached
The matrices and vectors listed in Eq. (3) are used in
several of the exercises that follow.
3 1
4 7
26
A =
C =
2140
6135
2420
36
E =
--[23]
U=
1
[3]
B
121
743
601
V =
D
~-[¦}]
]
-3
1
[24]
3
Transcribed Image Text:The matrices and vectors listed in Eq. (3) are used in several of the exercises that follow. 3 1 4 7 26 A = C = 2140 6135 2420 36 E = --[23] U= 1 [3] B 121 743 601 V = D ~-[¦}] ] -3 1 [24] 3
10. A¹C
11. (FV)¹
In Exercises 13-25, calculate the scalars.
13. uv
16. v Fv
19. ||u||
22. ||uv||
25. ||(DE)u||
26. Let A and B be (2x2) matrices. Prove or fin
terexample for this statement: (AB)(A
14. v Fu
17. u u
20. ||DV||
23. || Full
12. (EF)
15. v Dv
18. vv
V
21. ||Au||
24. ||FV||
Transcribed Image Text:10. A¹C 11. (FV)¹ In Exercises 13-25, calculate the scalars. 13. uv 16. v Fv 19. ||u|| 22. ||uv|| 25. ||(DE)u|| 26. Let A and B be (2x2) matrices. Prove or fin terexample for this statement: (AB)(A 14. v Fu 17. u u 20. ||DV|| 23. || Full 12. (EF) 15. v Dv 18. vv V 21. ||Au|| 24. ||FV||
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