In Exercises 35 and 36, find the value of the constant k such that B = A1. 36. A = [ 1 2

Chapter 8, Problem 36

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Finding a Matrix Entry In Exercises 35 and 36, find the value of the constant k such that \(B=A^{-1}\).

\(A=\left[\begin{array}{rr}-1&1\\ 2&1\end{array}\right],\quad\ \ \ B=\left[\begin{array}{rr}-\frac{1}{3}&\frac{1}{3}\\ k&\frac{1}{3}\end{array}\right]\)

Text Transcription:

B = A^-1

A = [ _2  1  ^-1  1],  B = [ _k  1/3  ^-1/3  1/3)

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