a. A: = a: b: -1 1 1 0 A A This is the result of the inverses of the matrices: 3/2- -1/4 -3/2 5/4 0 −1 -2 2 -1/4 -5/2 9/4 7/4 1/2 -7/4 0 1 3 0 1 1 1 -1 1 لادي A · A = /³/4 -7/2₂ 7/4 -1/2 7/4-1/2 1 O RT 2 ܓ ܘ ܥ -1 ; 2 1 -1/2 0 1 2 3/4/ 16. 1 3rrr 1 b. B = 1 11 ;) = 1 2 2 10 12 1 01 2 7 0 7000 8000 оого 700 010 0 -0 1 oo 0 ✓ Using the inverses of the previous problem, find the solution of Ax = b and Bx = c for the vectors b = (3, 2, 1, 1, 4)^T and c = (1, 2, 1)^T, respectively.
a. A: = a: b: -1 1 1 0 A A This is the result of the inverses of the matrices: 3/2- -1/4 -3/2 5/4 0 −1 -2 2 -1/4 -5/2 9/4 7/4 1/2 -7/4 0 1 3 0 1 1 1 -1 1 لادي A · A = /³/4 -7/2₂ 7/4 -1/2 7/4-1/2 1 O RT 2 ܓ ܘ ܥ -1 ; 2 1 -1/2 0 1 2 3/4/ 16. 1 3rrr 1 b. B = 1 11 ;) = 1 2 2 10 12 1 01 2 7 0 7000 8000 оого 700 010 0 -0 1 oo 0 ✓ Using the inverses of the previous problem, find the solution of Ax = b and Bx = c for the vectors b = (3, 2, 1, 1, 4)^T and c = (1, 2, 1)^T, respectively.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 15EQ: 15. Reverse the elementary row operations used in Example 2.9 to show that we can convert
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Using the inverses of the previous problem, find the solution of Ax = b and Bx = c for the vectors b = (3, 2, 1, 1, 4)^T and c = (1, 2, 1)^T , respectively.
![a. A-
0
1 3
0 1
------
1 -2 1 1
2 −1 1
a:
b:
=
- 1
A. A
1
This is the result of the inverses of the matrices:
0
3/2-
-7/4 -3/2 5/4
-7/4 -5/2 9/4 !
7/4
1/2-1/4 0
لادي
1
A" • A = /³/4 -7/2₂ 7/4
O
-1
2
ܓ ܘ ܥ
2 1
-1/2
-1/2 9 1 2
7/4-1/2 3/4/ 16. 1
; b. B = 12
01
3rrr
1
1
11
;) +
1
2
7690
6100
2 1 0
1
2
7 0
оого
700
010
O 1
oo
0
0
✓
Using the inverses of the previous problem, find the solution of Ax = b and Bx = c for the
vectors b = (3, 2, 1, 1, 4)^T and c = (1, 2, 1)^T, respectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F899e21de-f4db-4fdc-90f9-ea6c5cb3d50f%2F8ef11301-2fb8-456d-9cf7-92f9e5d1a341%2Fz3zlmxj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a. A-
0
1 3
0 1
------
1 -2 1 1
2 −1 1
a:
b:
=
- 1
A. A
1
This is the result of the inverses of the matrices:
0
3/2-
-7/4 -3/2 5/4
-7/4 -5/2 9/4 !
7/4
1/2-1/4 0
لادي
1
A" • A = /³/4 -7/2₂ 7/4
O
-1
2
ܓ ܘ ܥ
2 1
-1/2
-1/2 9 1 2
7/4-1/2 3/4/ 16. 1
; b. B = 12
01
3rrr
1
1
11
;) +
1
2
7690
6100
2 1 0
1
2
7 0
оого
700
010
O 1
oo
0
0
✓
Using the inverses of the previous problem, find the solution of Ax = b and Bx = c for the
vectors b = (3, 2, 1, 1, 4)^T and c = (1, 2, 1)^T, respectively.
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