[Solved] If V is the matrix of eigenvectors from [V,D] = eig(A);, what does each column of V represent? — Ans: Each column is an eigenvector corresponding to an eigenvalue | MATLAB

MATLAB - Linear Algebra

If V is the matrix of eigenvectors from [V,D] = eig(A);, what does each column of V represent?

AEach column is an eigenvector corresponding to an eigenvalue

BEach column is a row of matrix A

CEach column is a diagonal element of D

DEach column is the inverse of A

Step-by-Step Solution

Solution:

Step 1: Recall the output structure of eig
The matrix V contains eigenvectors as its columns.
Step 2: Understand the relation between columns and eigenvalues
Each column vector in V corresponds to an eigenvalue in the diagonal matrix D.
Final Answer:
Each column of V is an eigenvector corresponding to an eigenvalue -> Option A
Quick Check:
Columns of V = eigenvectors [OK]

Quick Trick: Columns of V are eigenvectors matching D's eigenvalues [OK]

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If V is the matrix of eigenvectors from [V,D] = eig(A);, what does each column of V represent?