13 & 14 plz ng arrowsv. Noticeartices arese 2uivalentxer-rin[-]H---]In Exercises 13 and 14, determine if b is a linear combination ofthe vectors formed from the columns of the matrix A.1 -42335,b =-78-4In Exercises 11 andaj, a2, and a3.11. a₁ =12. a₁ =13. A =0-21 -2 -614. A = 0 3 7,b1 -2 515. V₁ =-5---[11], =0[3]=11-59-|--6, b[중]=In Exercises 15 and 16, list five vectors in Span {V₁, V2}. For evector, show the weights on V₁ and v₂ used to generate the veand list the three entries of the vector. Do not make a sketch.[]

Given A=1-42035-28-4 and b=3-7-3 We construct b as a linear combination of columns of A Such that,…

Answered: 13. A = 1 -4 03 -2 -2 8-4 [1 -2 14. A =…

Math

Advanced Math

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

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 30EQ

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Question

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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.
[]

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