1. Consider the matrix: 3 × 3:[1 2 3]A= 3 3 4[567]Use the svd() function in MATLAB to compute A₁, the rank-1 approximation of A. Clearly state what A₁ is, rounded to 4 decimal places.Also, compute the root mean square error (RMSE) between A and A₁.

Step 1: Code: Define matrix AA = [1, 2, 3; 3, 3, 4; 5, 6, 7]; Compute SVD of A[U, S, V] = svd(A);…

Answered: 1. Consider the matrix: 3 × 3: [1 2 3]…

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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1. Consider the matrix: 3 × 3: [1 2 3] A= 3 3 4 [567] Use the svd() function in MATLAB to compute A₁, the rank-1 approximation of A. Clearly state what A₁ is, rounded to 4 decimal places. Also, compute the root mean square error (RMSE) between A and A₁.