1 -1 -1 Let A 2 -2 -1 e M3x3 (R). 1 0 1 (a) Is A invertible? If so, find A-1 and express A-1 as a product of elementary matrices. (In particular, do not use determinants to answer this part.) (b) Use (a) to find det A, using the relationship between row/column operations and determinants.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Can NOT use row/column expansion

1
-1 -1
Let A
2 -2 -1
e M3x3 (R).
1
0 1
(a) Is A invertible? If so, find A-1 and express A-1 as a product of elementary matrices. (In particular, do not use determinants to answer this
part.)
(b) Use (a) to find det A, using the relationship between row/column operations and determinants.
Transcribed Image Text:1 -1 -1 Let A 2 -2 -1 e M3x3 (R). 1 0 1 (a) Is A invertible? If so, find A-1 and express A-1 as a product of elementary matrices. (In particular, do not use determinants to answer this part.) (b) Use (a) to find det A, using the relationship between row/column operations and determinants.
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