The vectors listed in Eq. (10) are used in several of the exercises that follow. V1 --[2]· 2 2 -[3]. »>-[3]. 4 V2 = = [1]· ₁ = [3] V5 6 0 ------ 3] 2 = ] [:] - -[1] U4= us= 3 0 (10)
The vectors listed in Eq. (10) are used in several of the exercises that follow. V1 --[2]· 2 2 -[3]. »>-[3]. 4 V2 = = [1]· ₁ = [3] V5 6 0 ------ 3] 2 = ] [:] - -[1] U4= us= 3 0 (10)
The vectors listed in Eq. (10) are used in several of the exercises that follow. V1 --[2]· 2 2 -[3]. »>-[3]. 4 V2 = = [1]· ₁ = [3] V5 6 0 ------ 3] 2 = ] [:] - -[1] U4= us= 3 0 (10)
Linear algebra : please solve q45 correctly and handwritten
Transcribed Image Text:The vectors listed in Eq. (10) are used in several of the
exercises that follow.
V1
- [2].
V2
--)--[]
V5
0
2
-[3]. »-[2].
4
3
3
6
----
--0-0-0
U4
2
2
[3]
=
(10)
Transcribed Image Text:In Exercises 40-45, express the given vector b as a lin-
ear combination of v₁ and v2, where v₁ and v₂ are in
Eq. (10).
40. b =
42. b =
[2]
2
7
44. b =
0
4
JOURNEY
41. b =
r Independence and Nonsingular Matrices
43. b =
[8]
In Exercises 46-47, let S = {V₁, V2, V3}.
3
[
[8]
45. b =
79
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].
V2
--)--[]
V5
0
2
-[3]. »-[2].
4
3
3
6
----
--0-0-0
U4
2
2
[3]
=
(10)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F624dcfab-19f1-4c4b-b3ec-94b9a5b18d08%2Fcba2cd8a-c23b-4603-b1c2-5d1d921993a8%2Fbdwvg2k_processed.jpeg&w=3840&q=75)
![In Exercises 40-45, express the given vector b as a lin-
ear combination of v₁ and v2, where v₁ and v₂ are in
Eq. (10).
40. b =
42. b =
[2]
2
7
44. b =
0
4
JOURNEY
41. b =
r Independence and Nonsingular Matrices
43. b =
[8]
In Exercises 46-47, let S = {V₁, V2, V3}.
3
[
[8]
45. b =
79](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F624dcfab-19f1-4c4b-b3ec-94b9a5b18d08%2Fcba2cd8a-c23b-4603-b1c2-5d1d921993a8%2Fah9ian_processed.jpeg&w=3840&q=75)
