Give the first stage of elementary matrices for the Given Matrix A. All zeros are established from top to bottom. 3 2-1] 2 13 -20 4 1/3 0 0] 0 10 0 0 1 1/3 0 0] b. E₁1 0 10 E231 0 01 a. E11- C. 1 ool E23-2/3 1 0 2/3 0 1 E₂1 1 00 d. E₁1 -2 10 0 0 1 IL E321 [100] 100 -2 10. E31-010 001] 201 100 -2 10. 201 100 010 041 100 E32 0 1 0. [201]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Give the first stage of elementary matrices for the Given Matrix A. All zeros are established from top
to bottom.
3 2-1
2 13
-20 4
a. E₁1=
b. E11-
C.
1/3 0 0]
0 10, E215
0 0 1]
1/3 0 0]
1 00
0 10 E23= -2 10.
0 01
1 00
E23-2/3 1 0
2/3 01]
E32
1
00
[100]
-2 10. E31-010
0 0 1
[201]
1 00
d. E₁1 -2 10. E32 =
0 01
201
[100]
010
04
100
010
201
Transcribed Image Text:Give the first stage of elementary matrices for the Given Matrix A. All zeros are established from top to bottom. 3 2-1 2 13 -20 4 a. E₁1= b. E11- C. 1/3 0 0] 0 10, E215 0 0 1] 1/3 0 0] 1 00 0 10 E23= -2 10. 0 01 1 00 E23-2/3 1 0 2/3 01] E32 1 00 [100] -2 10. E31-010 0 0 1 [201] 1 00 d. E₁1 -2 10. E32 = 0 01 201 [100] 010 04 100 010 201
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