Answer number 3 equation, it's about algebra matrices. The n xn lower triangular, upper triangular, and symmetric Pascal matrices areset as Ln, Un, and Sn, respectively. In addition, n x n square matrices An isgiven by An = Un - In, where I, is the n xn unit matrix.(3) The natural logarithm of square matrix X can be defined asIn X = c, (X – I) + c2(X – 1)² + c3(X - 1)3 + c4(X – 1)* + c5(X – 1)5 + ..with Cn (n = 1,2, ..) derived in (4) and the corresponding unit matrix I.Calculate and give In U5, and then give In Ls.

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Answered: (3) The natural logarithm of square…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.4: Similarity And Diagonalization

Problem 39EQ

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(3) The natural logarithm of square matrix X can be defined as In X = c, (X – I) + c2(X – 1)2 + c3 (X- 1)3 + c4(X – 1)* + c5(X – 1)5 + .. with Cn (n = 1,2, ..) derived in (4) and the corresponding unit matrix I. Calculate and give In U5, and then give In L5.