What will be the output of the following MATLAB code?

medium📝 Predict Output Q5 of 15

MATLAB - Linear Algebra

A = [1 2; 3 4];
[U, S, V] = svd(A);
disp(round(U'*U, 2));

A[0 1; 1 0]

B[1 1; 1 1]

C[1 0; 0 1]

D[0 0; 0 0]

Step-by-Step Solution

Solution:

Step 1: Understand the property of matrix U in SVD
Matrix U is orthogonal, so U'*U equals the identity matrix.
Step 2: Confirm output of round(U'*U, 2)
Rounding the identity matrix keeps it as [1 0; 0 1].
Final Answer:
[1 0; 0 1] -> Option C
Quick Check:
U'*U = Identity matrix [OK]

Quick Trick: U'*U always equals identity matrix in SVD [OK]

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