For an n × n matrix A, we can similarly define the matrix exponential aseA = I + A + (1/2!)A^2 + (1/3!)A^3 + · · · . a) For the matrix D = 3 0 0 5
For an n × n matrix A, we can similarly define the matrix exponential aseA = I + A + (1/2!)A^2 + (1/3!)A^3 + · · · . a) For the matrix D = 3 0 0 5
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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.Recall that the Maclaurin series for ex is
ex = 1 + x + (1/2!)x^2 + (1/3!)x^3 + · · · .
For an n × n matrix A, we can similarly define the matrix exponential aseA = I + A + (1/2!)A^2 + (1/3!)A^3 + · · · .
ex = 1 + x + (1/2!)x^2 + (1/3!)x^3 + · · · .
For an n × n matrix A, we can similarly define the matrix exponential aseA = I + A + (1/2!)A^2 + (1/3!)A^3 + · · · .
a) For the matrix D =
compute eD.
3 | 0 |
0 | 5 |
compute eD.
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