Problems 23 through 26 introduce the ideadeveloped more fully in the next sectionof a multiplicative inverse of

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Problems 23 through 26 introduce the idea—developed more fully in the next section—of a multiplicative inverse of a square matrix.


Let


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and


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Find B so that AB = I = BA as follows: First equate entries on the two sides of the equation AB = I. Then solve the resulting four equations for a, b, c, and d. Finally verify that BA = I as well.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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