(a) Let A be an n à n matrix whose entries are all very small, |Aij| 1/n,...
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(I + A)1 = I A + A2 A3 + A4 +. . .
By proving that (i) the series on the right-hand side converges absolutely for each of the n2 entries, and (ii) (I + A) times the right-hand side equals I.
(b) Use (a) to establish Eq. (8.21) from Eq. (8.20).
Transcribed Image Text:
arr (8.20) (8.21)
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a Let A be an n n matrix whose entries are all very small A ij 1 n and let I be the unit matrix Show ...View the full answer
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