Exercise4

For each of the questions below, provide a justification for your response.

  1. What does the presence of a row whose entries are all zero in an augmented matrix tell us about the solution space of the linear system?

  2. How can you determine if a linear system has no solutions directly from its reduced row echelon matrix?

  3. How can you determine if a linear system has infinitely many solutions directly from its reduced row echelon matrix?

  4. What can you say the solution space of a linear system if there are more unknowns than equations and at least one solution exists?

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