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2. The Taylor series of the exponential function is 8 1 exp(X) = I + n=1 A = -X", n! where X is a matrix and I is the identity matrix. (a) Compute eªt, where t is a scalar parameter and -(81) (b) Compute the derivative of eat, where A is the matrix of the previous part.

2. The Taylor series of the exponential function is 8 1 exp(X) = I + n=1 A = -X", n! where X is a matrix and I is the identity matrix. (a) Compute eªt, where t is a scalar parameter and -(81) (b) Compute the derivative of eat, where A is the matrix of the previous part.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. The Taylor series of the exponential function is exp(X) = I + ∞ n=1 —X", where X is a matrix and I is the identity matrix. (a) Compute et, where t is a scalar parameter and A = (8₂₁). (b) Compute the derivative of eªt, where A is the matrix of the previous part.
Transcribed Image Text:2. The Taylor series of the exponential function is exp(X) = I + ∞ n=1 —X", where X is a matrix and I is the identity matrix. (a) Compute et, where t is a scalar parameter and A = (8₂₁). (b) Compute the derivative of eªt, where A is the matrix of the previous part.
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