Linear algebra: please do q7, 9, 11 correctly and handwritten.
Equ 6 is Vx= 0
Transcribed Image Text:The vectors listed in Eq. (10) are used in several of the
exercises that follow.
V₁ =
·-[2]· »-[3]· »»-[²]·
V3 =
--8--8
V4=
-0-0-0
=
=
=
-0-0-0
=
3
1. {V1, V₂}
3. {V₁, Vs}
=
(10)
In Exercises 1-14, use Eq. (6) to determine whether the
given set of vectors is linearly independent or linearly
dependent. If the set is linearly dependent, express one
vector in the set as a linear combination of the others.
2. (VI, V3)
4. (V2, V3}
5. {V1, V2, V3)
7. {u4, us}
9. {u1, U₂, us}
11. (u₂, U4, us)
13. {uo, U₁, U2, U4}
15. Consider
ing Th
6. (V2, V3, V4}
8. (U3, U4)
10. {u₁, U4, us}
12. (u₁, U₂, U4)
14. (uo, U2, U3, U4}
ITs-
(11)
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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![The vectors listed in Eq. (10) are used in several of the
exercises that follow.
V₁ =
·-[2]· »-[3]· »»-[²]·
V3 =
--8--8
V4=
-0-0-0
=
=
=
-0-0-0
=
3
1. {V1, V₂}
3. {V₁, Vs}
=
(10)
In Exercises 1-14, use Eq. (6) to determine whether the
given set of vectors is linearly independent or linearly
dependent. If the set is linearly dependent, express one
vector in the set as a linear combination of the others.
2. (VI, V3)
4. (V2, V3}
5. {V1, V2, V3)
7. {u4, us}
9. {u1, U₂, us}
11. (u₂, U4, us)
13. {uo, U₁, U2, U4}
15. Consider
ing Th
6. (V2, V3, V4}
8. (U3, U4)
10. {u₁, U4, us}
12. (u₁, U₂, U4)
14. (uo, U2, U3, U4}
ITs-
(11)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F624dcfab-19f1-4c4b-b3ec-94b9a5b18d08%2F87138b3c-8b2c-41c9-ad84-5a5fd82c9ae5%2Fgzuyazs_processed.jpeg&w=3840&q=75)
