Answer: The Determinant of the Inverse of a Matrix In
Chapter 3, Problem 27(choose chapter or problem)
In Exercises 25–30, find \(\left|A^{-1}\right|\). Begin by finding \(A^{-1}\), and then evaluate its determinant. Verify your result by finding |A| and then applying the formula from Theorem 3.8, \(\left|A^{-1}\right|=\frac{1}{|A|}\).
\(A=\left[\begin{array}{rrr}
2 & -2 & 3 \\
1 & -1 & 2 \\
3 & 0 & 3
\end{array}\right]\)
Text Transcription:
|A^-1|
A^-1
|A^-1|=1/|A|
A=[2 -2 3
1 -1 2
3 0 3]
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