13. A = 1 -4 03 -2 -2 8-4 [1 -2 14. A = 0 3 1 -2 27 5,b= -6 7,b= 5 3 -7 -3 -5 9

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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13 & 14 plz
ng arrows
v. Notice
artices are
se 2
uivalent
xer-
rin
[-]
H
---]
In Exercises 13 and 14, determine if b is a linear combination of
the vectors formed from the columns of the matrix A.
1 -4
2
3
3
5,b =
-7
8-4
In Exercises 11 and
aj, a2, and a3.
11. a₁ =
12. a₁ =
13. A =
0
-2
1 -2 -6
14. A = 0 3 7,b
1 -2 5
15. V₁ =
-5
---[11]
, =
0
[3]
=
11
-5
9
-|-
-6, b
[중]
=
In Exercises 15 and 16, list five vectors in Span {V₁, V2}. For e
vector, show the weights on V₁ and v₂ used to generate the ve
and list the three entries of the vector. Do not make a sketch.
[]
Transcribed Image Text:ng arrows v. Notice artices are se 2 uivalent xer- rin [-] H ---] In Exercises 13 and 14, determine if b is a linear combination of the vectors formed from the columns of the matrix A. 1 -4 2 3 3 5,b = -7 8-4 In Exercises 11 and aj, a2, and a3. 11. a₁ = 12. a₁ = 13. A = 0 -2 1 -2 -6 14. A = 0 3 7,b 1 -2 5 15. V₁ = -5 ---[11] , = 0 [3] = 11 -5 9 -|- -6, b [중] = In Exercises 15 and 16, list five vectors in Span {V₁, V2}. For e vector, show the weights on V₁ and v₂ used to generate the ve and list the three entries of the vector. Do not make a sketch. []
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