Prove or disprove: If two matrices of the same order have the same rank then theymust be row equivalent.

Question

Prove or disprove: If two matrices of the same order have the same rank then theymust be row equivalent.
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Solution 1

The statement is not necessarily true. Two matrices of the same order having the same rank does not imply that they must be row equivalent.

Here's why:

Row equivalence of two matrices means that one can be obtained from the other by a series of elementary row operations. These operations include 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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