C = 3. 3. Find AB and BA given 3 A = and B = -7 -4 -2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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O File
/home/chronos/u-42c7373e4357ee526bed2268ecc2b0b8f...
Q ☆
that is, by
CA
x1(1) 2c1e + 2cze3 + 2c3e5t + 31,
x2(t) = 2c1e'
x3(1) = cje- cze + cze5t + 21.
- 2cze5t + 5,
|
5.1 Problems
1. Let
4. Let A and B be the matrices given in Problem 3 and let
A = [;]
2.
and
12
and y =
4.
1.
21
sin
Find (a) 2A + 3B; (b) ЗА - 2B; (с) АB; (d) BА.
2. Verify that (a) A(BC) = (AB)C and that (b) A(B+C) =
AB+ AC, where A and B are the matrices given in Prob-
lem 1 and
Cos/
Find Ay and Bx. Are the products Ax and By defined?
Explain your answer.
0.
2.
5. Let
C
3.
3.
2.
0-3
2.
3. Find AB and BA given
A =
0.
4.
and B =
4.
-3
-5
2.
7
2
.
5.
5 -1
2
0.
Find (a) 7A + 4B; (b) 3A -5B; (c) AB; (d) BA;
(e) A -tI.
and B =
-4
5
2
280
Chapter 5 Linear Systems of Differential Equations
-73
Transcribed Image Text:O File /home/chronos/u-42c7373e4357ee526bed2268ecc2b0b8f... Q ☆ that is, by CA x1(1) 2c1e + 2cze3 + 2c3e5t + 31, x2(t) = 2c1e' x3(1) = cje- cze + cze5t + 21. - 2cze5t + 5, | 5.1 Problems 1. Let 4. Let A and B be the matrices given in Problem 3 and let A = [;] 2. and 12 and y = 4. 1. 21 sin Find (a) 2A + 3B; (b) ЗА - 2B; (с) АB; (d) BА. 2. Verify that (a) A(BC) = (AB)C and that (b) A(B+C) = AB+ AC, where A and B are the matrices given in Prob- lem 1 and Cos/ Find Ay and Bx. Are the products Ax and By defined? Explain your answer. 0. 2. 5. Let C 3. 3. 2. 0-3 2. 3. Find AB and BA given A = 0. 4. and B = 4. -3 -5 2. 7 2 . 5. 5 -1 2 0. Find (a) 7A + 4B; (b) 3A -5B; (c) AB; (d) BA; (e) A -tI. and B = -4 5 2 280 Chapter 5 Linear Systems of Differential Equations -73
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage