Compute the matrix exponential e At for the following system x' = Ax. x'1 = 6x1 - 2x2, x'2 = 2x, +X2 At e (Use integers or fractions for any numbers in the expression.)
Compute the matrix exponential e At for the following system x' = Ax. x'1 = 6x1 - 2x2, x'2 = 2x, +X2 At e (Use integers or fractions for any numbers in the expression.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 72E
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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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![Compute the matrix exponential e At for the following system x' = Ax.
x'1 = 6x1 - 2x2, x'2 = 2x, +X2
At
e
(Use integers or fractions for any numbers in the expression.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68f52e0c-1209-4c90-b3f9-cb3983b012e6%2Ff8325d7a-7482-4828-b7d7-217fcd61a607%2Fgr7rgiq_processed.png&w=3840&q=75)
Transcribed Image Text:Compute the matrix exponential e At for the following system x' = Ax.
x'1 = 6x1 - 2x2, x'2 = 2x, +X2
At
e
(Use integers or fractions for any numbers in the expression.)
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