[Solved] What does the MATLAB function svd(A) return when applied to a matrix A? — Ans: Three matrices: U, S, and V such that A = U * S * V'. | MATLAB

MATLAB - Linear Algebra

What does the MATLAB function svd(A) return when applied to a matrix A?

AThe determinant of matrix A.

BThe inverse of matrix A.

CThree matrices: U, S, and V such that A = U * S * V'.

DThe transpose of matrix A.

Step-by-Step Solution

Solution:

Step 1: Understand the purpose of svd
The svd function decomposes a matrix into three parts: U, S, and V.
Step 2: Recall the decomposition formula
It satisfies the equation A = U * S * V', where U and V are orthogonal matrices and S is diagonal.
Final Answer:
Three matrices: U, S, and V such that A = U * S * V'. -> Option C
Quick Check:
svd(A) = U, S, V [OK]

Quick Trick: Remember svd splits matrix into U, S, V parts [OK]

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