2. for the given matrices A = -3 9 14 7 9 -17 -8 Find : a. A + D b. AA + DDT C. BC d. (AB + AD) T e. 3A + 4D 1 13 " B= 15 - 2 -9 5 1 12 " C = 4 5 -7 11 D = 18 3 21 4 8 5 -6 0 34

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 78E
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Integers and matrices

1. Solve the following linear systems
a. x = 1 (mod2)
x = 2 (mod3)
x = 3 (mod5)
b. x = 1 (mod3)
x = 3 (mod4)
x = 4 (mod7)
2. for the given matrices
A = -3
9 14
1
-8 13
7
9
-17
Find :
a. A + D
b. AA + DD
T
C. BC
d. (AB + AD) T
e. 3A + 4D
"
B =
15 -2, C = 4 -7
-9
5 11
1
3. Find the inverse of A = 2 7
(3)
5 -3
5
12
, D=18
4
-6
380
21
5
34
Transcribed Image Text:1. Solve the following linear systems a. x = 1 (mod2) x = 2 (mod3) x = 3 (mod5) b. x = 1 (mod3) x = 3 (mod4) x = 4 (mod7) 2. for the given matrices A = -3 9 14 1 -8 13 7 9 -17 Find : a. A + D b. AA + DD T C. BC d. (AB + AD) T e. 3A + 4D " B = 15 -2, C = 4 -7 -9 5 11 1 3. Find the inverse of A = 2 7 (3) 5 -3 5 12 , D=18 4 -6 380 21 5 34
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