In Exercises 5-6 an elementary matrix E and a matrix A are given. Identify the row operation corresponding to E and verify that the product EA results from applying the row operation to A. -1 -2 5 5. a. E = PJ. A 4 = [² 13 1 -6 -6 -6 1 0 0 2 -1 0-4 -4 b. E= 0 1 89. 0 A = 1 -3 -1 5 3 0-3 1 2 013-1, [1 0 c. E= 0 1 47 0 001 A = 2 3 4 5 6 11. a 12. In the 13
In Exercises 5-6 an elementary matrix E and a matrix A are given. Identify the row operation corresponding to E and verify that the product EA results from applying the row operation to A. -1 -2 5 5. a. E = PJ. A 4 = [² 13 1 -6 -6 -6 1 0 0 2 -1 0-4 -4 b. E= 0 1 89. 0 A = 1 -3 -1 5 3 0-3 1 2 013-1, [1 0 c. E= 0 1 47 0 001 A = 2 3 4 5 6 11. a 12. In the 13
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
Related questions
Question
100%
1.5 Questions 5, 11 please on paper
![a. EB = D
b. El
c. EB = F
d. EF = B
In Exercises 9-10, first use Theorem 1.4.5 and then use the inversion
algorithm to find A-¹, if it exists.
2
-4
9. a. A =
b. A =
2
4
8
6
4
10. a. A =
b. A =
- 1 - 3
-2
In Exercises 11-12, use the inversion algorithm to find the inverse of
the matrix (if the inverse exists).
1 2 3
-1
3 -4
11. a.
2
5 3
b.
2
4 1
1
0 8
-4
2
12. a.
In Exercises 13-18, use the inversion algorithm to find the inverse o
the matrix (if the inverse exists).
√₂
3√2
0
14. -4√2
1 1
√2 0
13. 0
1 0
0
0
01
0
8.
를
15 15 15
15 15 ST
[2 6
1
b.
25 15 SIT
vino [1
1
16.
1
T
0 0
3 0
2
C
21
5+ 5/
O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48922dd6-b6f8-4fac-84c6-05a7db5750f6%2F97e87c5d-6eb3-4da1-8feb-1eefaea560a5%2Fir2vjkc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a. EB = D
b. El
c. EB = F
d. EF = B
In Exercises 9-10, first use Theorem 1.4.5 and then use the inversion
algorithm to find A-¹, if it exists.
2
-4
9. a. A =
b. A =
2
4
8
6
4
10. a. A =
b. A =
- 1 - 3
-2
In Exercises 11-12, use the inversion algorithm to find the inverse of
the matrix (if the inverse exists).
1 2 3
-1
3 -4
11. a.
2
5 3
b.
2
4 1
1
0 8
-4
2
12. a.
In Exercises 13-18, use the inversion algorithm to find the inverse o
the matrix (if the inverse exists).
√₂
3√2
0
14. -4√2
1 1
√2 0
13. 0
1 0
0
0
01
0
8.
를
15 15 15
15 15 ST
[2 6
1
b.
25 15 SIT
vino [1
1
16.
1
T
0 0
3 0
2
C
21
5+ 5/
O
![C.
4. a.
00
0
1
C.
1
01
-5 0
1
0
1 0 0
0
0 0
1
0
0
E
1
0
0
0
3
го
0 0
1
1
0 - 1
0
1
0
0
0
1
0
0
0
1
0
0
0
1
0
1
0
0 0
0
0
0
1.
In Exercises 5-6 an elementary matrix E and a matrix A are given.
Identify the row operation corresponding to E and verify that the
product EA results from applying the row operation to A.
0
-1 -2
5 -1
5.
a. E =
1}],
A =
1
3
-6
-6 -6
1
0
0
[2
-1 0
-4
b. E= 0
1
0
A =
1
-3
-1
5 3
0
-3
1
201
3
-1
[1
0 4
4
c. E =
0 1 0
A =
2
5
1
3 6
-1
6. a. E =
1.
=
3
1
0
-----
b. E =
-4
1 0
1
A =
0 1
2
LO 0
-6
0
A =
d.
b. 0
d.
1
-2
-6
O O
0 0
0
1
-6
-1
-3
-4
-4
0
0
5
0 1 3
3
-1
In Exerc
algorith
9. a.
10. a.
In Ex
the m
11. a
12.
In E
the
13.
15](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48922dd6-b6f8-4fac-84c6-05a7db5750f6%2F97e87c5d-6eb3-4da1-8feb-1eefaea560a5%2F7o9twvm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:C.
4. a.
00
0
1
C.
1
01
-5 0
1
0
1 0 0
0
0 0
1
0
0
E
1
0
0
0
3
го
0 0
1
1
0 - 1
0
1
0
0
0
1
0
0
0
1
0
0
0
1
0
1
0
0 0
0
0
0
1.
In Exercises 5-6 an elementary matrix E and a matrix A are given.
Identify the row operation corresponding to E and verify that the
product EA results from applying the row operation to A.
0
-1 -2
5 -1
5.
a. E =
1}],
A =
1
3
-6
-6 -6
1
0
0
[2
-1 0
-4
b. E= 0
1
0
A =
1
-3
-1
5 3
0
-3
1
201
3
-1
[1
0 4
4
c. E =
0 1 0
A =
2
5
1
3 6
-1
6. a. E =
1.
=
3
1
0
-----
b. E =
-4
1 0
1
A =
0 1
2
LO 0
-6
0
A =
d.
b. 0
d.
1
-2
-6
O O
0 0
0
1
-6
-1
-3
-4
-4
0
0
5
0 1 3
3
-1
In Exerc
algorith
9. a.
10. a.
In Ex
the m
11. a
12.
In E
the
13.
15
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