[Solved] Given the MATLAB code:A = [4 0; 3 -5];[U, S, V] = svd(A);disp(round(diag(S), 2));What is the output? | MATLAB

MATLAB - Linear Algebra

Given the MATLAB code:

A = [4 0; 3 -5];
[U, S, V] = svd(A);
disp(round(diag(S), 2));

What is the output?

A[6.32; 3.16]

B[5.00; 4.00]

C[7.00; 2.00]

D[4.00; 3.00]

Step-by-Step Solution

Solution:

Step 1: Compute singular values of matrix A
The singular values are the square roots of the eigenvalues of A'*A. For A = [4 0; 3 -5], compute A'*A and find eigenvalues.
Step 2: Calculate and round singular values
Eigenvalues of A'*A are 40 and 10, so singular values are approximately 6.32 and 3.16 after square root and rounding to 2 decimal places.
Final Answer:
[6.32; 3.16] -> Option A
Quick Check:
Singular values = [6.32; 3.16] [OK]

Quick Trick: Singular values = sqrt of eigenvalues of A'*A [OK]

Common Mistakes:

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