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Express the matrix and its inverse as products of elementary matrices. 10-4 A =0 8 6 0 01

Express the matrix and its inverse as products of elementary matrices. 10-4 A =0 8 6 0 01

Advanced Engineering Mathematics
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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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: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
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
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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