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(2) Let us consider the "natural logarithm of a matrix". First, expand Inx as a Taylor series at x = 1. Complete the following equation with clarifying the coefficients C1, C2, **, C5: In x = c; (x – 1) + c2 (x – 1)2 + c3(x – 1)3 + c4(x – 1)* + c5(x – 1)5 + .. |

(2) Let us consider the "natural logarithm of a matrix". First, expand Inx as a Taylor series at x = 1. Complete the following equation with clarifying the coefficients C1, C2, **, C5: In x = c; (x – 1) + c2 (x – 1)2 + c3(x – 1)3 + c4(x – 1)* + c5(x – 1)5 + .. |

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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Answer number 2, about matrices algebra.
The n x n lower triangular, upper triangular, and symmetric Pascal matrices are set as Ln, Un, and Sn, respectively. In addition, n x n square matrices An is given by An = Un- In, where I, is the n xn unit matrix. %3D (2) Let us consider the "natural logarithm of a matrix". First, expand In x as a Taylor series at x = 1. Complete the following equation with clarifying the coefficients C1, C2, , C5: In x = c; (x – 1) + c2(x – 1)2 + c3(x – 1)3 + c4(x – 1)* + c5(x – 1)5 + ...
Transcribed Image Text:The n x n lower triangular, upper triangular, and symmetric Pascal matrices are set as Ln, Un, and Sn, respectively. In addition, n x n square matrices An is given by An = Un- In, where I, is the n xn unit matrix. %3D (2) Let us consider the "natural logarithm of a matrix". First, expand In x as a Taylor series at x = 1. Complete the following equation with clarifying the coefficients C1, C2, , C5: In x = c; (x – 1) + c2(x – 1)2 + c3(x – 1)3 + c4(x – 1)* + c5(x – 1)5 + ...
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