Solved: In 1–6, (a) show that the given matrix A satisfies

Chapter 9, Problem 1E

(choose chapter or problem)

In Problems 1–6, (a) show that the given matrix \(A\) satisfies \((A-r l)^{k}\) or some number r and some positive integer k and (b) use this fact to determine the matrix \(e^{A t} \). [Hint: Compute the characteristic polynomial and use the Cayley–Hamilton theorem.]

\(A=\left[\begin{array}{cc}  3 & -2 \\  0 & 3  \end{array}\right]\)

Equation Transcription:

[]

Text Transcription:

A

(A-rl)k

eAt

A=[ 3    -2 0      3 ]

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