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

Chapter 8, Problem 35

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

\(A=\left[\begin{array}{rr}1&2\\ -2&0\end{array}\right],\quad\ \ B=\left[\begin{array}{rr}k&-\frac{1}{2}\\ \frac{1}{2}&\frac{1}{4}\end{array}\right]\)

Text Transcription:

B = A^-1

A = [ _-2  0  ^1  2],  B = [ _1/2  1/4  ^k  -1/2)

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