Given the matrix8A =-6the SVD of A allows us to express A as a sum of two rank onematricies,A = R1 + R2.Calculate the rank one matrix resulting from the dominant sin-gular value (ie. the matrix closest to A), and provide the valueof R12) rounded to two decimal places.

As per the question we have to find the SVD of the matrix A and the find its rank 1 component…

Answered: Given the matrix 9. 8 A = 1 -6 the SVD…

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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Given the matrix 9. 8 A = 1 -6 the SVD of A allows us to express A as a sum of two rank one matricies, A = R1 +R2. Calculate the rank one matrix resulting from the dominant sin- gular value (ie. the matrix closest to A), and provide the value of R1(2.1) rounded to two decimal places.