The (2 x 2) matrices listed in Eq. (9) are used in several of the exercises that follow. 21 A ^-[3]. c-[-7}]. B 1 *-[83]. z = [88] Z Exercises 1-6 refer to the matrices in Eq. (9). 1. Find (a) A+ B; (b) A+ C; (c) 6B; and (d) B+3C. 2. Find (a) B+C; (b) 3A; (c) A+2C; and (d) C+8Z. 3. Find a matrix D such that A + D = B. 4. Find a matrix D such that A + 2D = C. 5. Find a matrix D such that A + 2B + 2D = 3B. 6. Find a matrix D such that 2A +5B+D=2B+3A. (9) The vectors listed in Eq. (10) are used in several of the exercises that follow. 2 --[8] [3] 1 1. U= -4 (10)
The (2 x 2) matrices listed in Eq. (9) are used in several of the exercises that follow. 21 A ^-[3]. c-[-7}]. B 1 *-[83]. z = [88] Z Exercises 1-6 refer to the matrices in Eq. (9). 1. Find (a) A+ B; (b) A+ C; (c) 6B; and (d) B+3C. 2. Find (a) B+C; (b) 3A; (c) A+2C; and (d) C+8Z. 3. Find a matrix D such that A + D = B. 4. Find a matrix D such that A + 2D = C. 5. Find a matrix D such that A + 2B + 2D = 3B. 6. Find a matrix D such that 2A +5B+D=2B+3A. (9) The vectors listed in Eq. (10) are used in several of the exercises that follow. 2 --[8] [3] 1 1. U= -4 (10)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 9CR
Related questions
Question
![The (2 x2) matrices listed in Eq. (9) are used in several
of the exercises that follow.
A
21
13
]
-2 3
c=[2³]
1 1
0
1
[83]
z = [88]
B
Exercises 1-6 refer to the matrices in Eq. (9).
1. Find (a) A + B; (b) A + C; (c) 6B; and (d) B+ 3C.
2. Find (a) B+C; (b) 3A; (c) A +2C; and (d) C+8Z.
3. Find a matrix D such that A + D = B.
4. Find a matrix D such that A + 2D = C.
5. Find a matrix D such that A + 2B + 2D = 3B.
6. Find a matrix D such that 2A +5B+D=2B+3A.
9. a) Ar
b) Br
c) C(s + 3t)
The vectors listed in Eq. (10) are used in several of the
exercises that follow.
1
2
r=
--[!] -[3]
-[4] --[-]
-4
t =
In Exercises 7-12, perform the indicated computation,
using the vectors in Eq. (10) and the matrices in Eq. (9).
7. a) r + s
8. a) t+s
b) 2r + t
c) 2s + u
b) r +3u
c) 2u + 3t
10. a) Bt
(10)
b) C(r + s)
c) B(r +s)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84d305fc-e861-4250-8822-5e6a32ff70d4%2Fdf650f66-d334-436b-b54d-08019f0a34c7%2Fctjova_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The (2 x2) matrices listed in Eq. (9) are used in several
of the exercises that follow.
A
21
13
]
-2 3
c=[2³]
1 1
0
1
[83]
z = [88]
B
Exercises 1-6 refer to the matrices in Eq. (9).
1. Find (a) A + B; (b) A + C; (c) 6B; and (d) B+ 3C.
2. Find (a) B+C; (b) 3A; (c) A +2C; and (d) C+8Z.
3. Find a matrix D such that A + D = B.
4. Find a matrix D such that A + 2D = C.
5. Find a matrix D such that A + 2B + 2D = 3B.
6. Find a matrix D such that 2A +5B+D=2B+3A.
9. a) Ar
b) Br
c) C(s + 3t)
The vectors listed in Eq. (10) are used in several of the
exercises that follow.
1
2
r=
--[!] -[3]
-[4] --[-]
-4
t =
In Exercises 7-12, perform the indicated computation,
using the vectors in Eq. (10) and the matrices in Eq. (9).
7. a) r + s
8. a) t+s
b) 2r + t
c) 2s + u
b) r +3u
c) 2u + 3t
10. a) Bt
(10)
b) C(r + s)
c) B(r +s)
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