An n×n matrix A is diagonalizable if A has n linearly independent eigenvectors.A. TrueB. False

Question

An n×n matrix A is diagonalizable if A has n linearly independent eigenvectors.A. TrueB. False
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Solution 1

To determine if an n×n matrix A is diagonalizable, we need to check if A has n linearly independent eigenvectors.

Step 1: Find the eigenvalues of matrix A by solving the characteristic equation det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix of size n×n.

Step 2: For each e Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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