One solution to the inputoutput equation X = MX + D is given by X = (I

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One solution to the input–output equation X = MX + D is given by X = (I - M)^-1D. Discuss the validity of each step in the following solutions of this equation. (Assume that all necessary inverses exist.) Are both solutions correct?

(A) X = MX + D
X - MX = D
X(I - M) = D
X = D (I - M)^-1

(B) X = MX + D
-D = MX - X
-D = (M - I) X
X = (M - I)^-1(-D)

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College Mathematics For Business Economics, Life Sciences, And Social Sciences

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Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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Question Posted: Mar 25, 2022 12:34 AM

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College Mathematics For Business Economics, Life Sciences, And Social Sciences

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