Let (a) Show that AB BA.(b) Show that property (d) in
Chapter 9, Problem 25E(choose chapter or problem)
Let
\(A=\left[\begin{array}{rr} 1 & 2 \\ -1 & 3 \end{array}\right] \text { and }
B=\left[\begin{array}{ll} 2 & 1 \\ 0 & 1 \end{array}\right]\)
(a) Show that \(A B \neq B A\).
(b) Show that property (d) in Theorem 7 does not hold for these matrices. That is, show that \(e^{(A+B) t} \neq e^{A t} e^{B t}\)
Equation Transcription:
[
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Text Transcription:
A=[-1 3 1 2 ] and B=[ 0 1 2 1 ]
AB \neq BA
e^(A+B)t \neq e^Ate^Bt
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