?(Calculus required) Use part (c) of Exercise 22 to show that\(\frac{d A^{-1}}{d

Chapter 1, Problem 23

(choose chapter or problem)

(Calculus required) Use part (c) of Exercise 22 to show that

$\frac{d A^{-1}}{d x}=-A^{-1} \frac{d A}{d x} A^{-1}$

State all the assumptions you make in obtaining this formula.

Equation Transcription:

$\frac{d{A}^{-1}}{dx}=-{A}^{-1}\frac{dA}{dx}{A}^{-1}$

Text Transcription:

dA^-1/dx=-A^-1 dA/dx A^-1

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