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.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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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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