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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