Express the matrix and its inverse as products of elementary matrices A =08 6 0 0 1 The matrix A can be written as: BEE GEE ofi 0 4TI o OTI 0 0 080 ofi o -4 0 OTI O 0 6080 00 1 ofi o oTI o OTI O 0 0100 60 -8 0 o[i 0 4T1 01001 0 0I0 0 ofi o o 0100 [401o o 1lo o 6080 0 -8 0
Express the matrix and its inverse as products of elementary matrices A =08 6 0 0 1 The matrix A can be written as: BEE GEE ofi 0 4TI o OTI 0 0 080 ofi o -4 0 OTI O 0 6080 00 1 ofi o oTI o OTI O 0 0100 60 -8 0 o[i 0 4T1 01001 0 0I0 0 ofi o o 0100 [401o o 1lo o 6080 0 -8 0
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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Transcribed Image Text:Express the matrix and its inverse as products of elementary matrices
10-4
A =0 8 6
00
The matrix A can be written as:
ofi 0 4T1 0 OTI0 0
00 8 0
0 0 1
ofi 0 -41 o OI 0 0
01 60 8 0
01 00
00 1
0 -6 1
0 0
001
00 1
0 O1 0 0T100
01001 60 -8 0
-1014 0 io 0
o[i 0 4 100
01001 -6 0 80
0 0 1
o[i 0 0 10 01
I00
0 0 1
0 0 1
010
0160-8 0
Transcribed Image Text:The matrix A can be written as:
10 00 o 104
0 001 -6 010
00 1
A
0 0 1
1
10 0 1 001 00
08001 0010
0 01
100
100
104
0800 16
010
0 01
001
0 0 1
10
10 01O
01001O
0610 01
0 0
10 0TI O o
000 1
0 010 0
I00
A
010
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