Solved: Finding the Inverses of Products and Transposes In
Chapter 2, Problem 42(choose chapter or problem)
In Exercises 41–44, use the inverse matrices to find (a) \((AB)^{-1}\), (b) \((A^{T})^{-1}\), and (c) \((2A)^{-1}\).
\(A^{-1}=\left[\begin{array}{rr} -\frac{2}{7} & \frac{1}{7} \\ \frac{3}{7} & \frac{2}{7} \end{array}\right], \quad B^{-1}=\left[\begin{array}{cc} \frac{5}{11} & \frac{2}{11} \\ \frac{3}{11} & -\frac{1}{11} \end{array}\right] \)
Text Transcription:
A^-1 = [_3/7^-2/7 _2/7^1/7], B^-1 = [_3/11^5/11 _-1/11^2/11]
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