Determine if the following statement is true or false:The number of free variables in the equationAx=0equals the dimension of Nul(A).A. TrueB. False

Question

Determine if the following statement is true or false:The number of free variables in the equationAx=0equals the dimension of Nul(A).A. TrueB. False
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Solution 1

To determine if the statement is true or false, we need to understand the relationship between the number of free variables in the equation Ax=0 and the dimension of Nul(A).

  1. First, let's define the terms:
    • Ax=0 represents a homogeneous system of linear equations, where A is a matrix and x is 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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