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Let $C$ be a consumption matrix such that $C^{m} \rightarrow 0$ as $m \rightarrow \infty,$ and for $m=1,2, \ldots,$ let $D_{m}=I+C+\cdots+$ $C^{m} .$ Find a difference equation that relates $D_{m}$ and $D_{m+1}$ and thereby obtain an iterative procedure for computing formula (8) for $(I-C)^{-1} .$

$(I-C)^{-1}=D_{n}$

Algebra

Chapter 2

Matrix Algebra

Section 6

The Leontief Input–Output Model

Introduction to Matrices

Missouri State University

Campbell University

Lectures

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In mathematics, the absolu…

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So in this case were given that GM it will tow I plus C plus c squared all the way to see em. So that implies that my d temple sworn would just because I am Didem end at CM so did M plus one end at C M plus honestly I plus C plus c squared, glossy am andan ending at c M plus one. So what I'm gonna do is look at these I can pull out is C So I'm gonna of equal toe I close when I plot is see from here what I've left to be I Plus we move one of the sea from here and I'll see under you can go all along and then disappears seat M on a swan And then this is gonna be C m. So this is just I lost. See what in his brackets, what in his Broca's is just the end? Because look at this. I look at this, it's just the same thing. So this is just, um So this is into broke it off d m. So that implies that di am blow swan equal to ay lost the M. This implies dads. I minus see in verse can be found attractively by computing D'Ambrosio G and no. Sworn for each em from. See, um um one and then notes.

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