Use the definition of the matrix exponential to compute eA for each of the following matrices: A=begin{pmatrix}1 & 1 0 & 1 end{pmatrix}

Harlen Pritchard 2021-03-07 Answered
Use the definition of the matrix exponential to compute eA for each of the following matrices:
A=(1101)
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hesgidiauE
Answered 2021-03-08 Author has 106 answers
Step 1 : To determine
Given: A=(1101)
To Determine: eAt
Step 2: Calculation
The matrix exponential is defined as:
eAt=I+t1!A+t22!A2+t33!A3+
Calculation:
A=(1101)
A2=(1101)(1101)=(1201)
A3=(1201)(1101)=(1301)
Similarly, Ak=(1k01)
Matrix exponential is given by:
eAt=(1001)+t1!(1101)+t22!(1201)+t33!(1301)+tkk!(1k01)+
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Jeffrey Jordon
Answered 2022-01-27 Author has 2313 answers

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