In Exercises 21-26, determine A, X, and B if the system is written as AX = R 22. -3x1-8x2 + 4x3 = -2 2x1 +4x2 - 6x3 = 8 131 21. 6x1 + 4x2 – 3x3 = -7 %3D -5x1+3x2 +2x3 = 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The first image shows the question. The second shows my answer. It doesn't look right to me, so I want to make sure that I interpreted the question and the steps correctly. Am I correct that I cannot get a solution for the problem because the matrix is not square? Are my interpretations of the variables correct? 

6X, +4x3=3X3 =-7
4
5 x,+3X2+2X =
A = aij]
Ba [bi]
%3D
4.
X2=
2 X3
3x
AX-B
5 3
2x3
(A-A)X = A"B
エX= AB
イ= ATB
X2=A B =
ble
-5
RI/6
7-5
4
-3
2.
3.
0
2.
6->
o kg tSR,
3.
2
2.
3.
25
3.
2.
☆ This is not a
$9Vare matrix-
A=
A X =B
F7
X2 4
44-3
64-3
X3
2
15 32
8==7
メ×
Transcribed Image Text:6X, +4x3=3X3 =-7 4 5 x,+3X2+2X = A = aij] Ba [bi] %3D 4. X2= 2 X3 3x AX-B 5 3 2x3 (A-A)X = A"B エX= AB イ= ATB X2=A B = ble -5 RI/6 7-5 4 -3 2. 3. 0 2. 6-> o kg tSR, 3. 2 2. 3. 25 3. 2. ☆ This is not a $9Vare matrix- A= A X =B F7 X2 4 44-3 64-3 X3 2 15 32 8==7 メ×
is written as AX = R
%3D
.
In Exercises 21-26, determine A, X, and B if the system
22. -3x1-8x2 + 4x3 = -2
2x1 + 4x2 - 6x3 = 8
%3D
6x1 + 4x2 - 3x3 = -7
4
- 5x, + 3x2 + 2x3 =
21.
%3D
Transcribed Image Text:is written as AX = R %3D . In Exercises 21-26, determine A, X, and B if the system 22. -3x1-8x2 + 4x3 = -2 2x1 + 4x2 - 6x3 = 8 %3D 6x1 + 4x2 - 3x3 = -7 4 - 5x, + 3x2 + 2x3 = 21. %3D
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