Linear Algebra Conceptual Questions
• What are the possible sizes of solution sets for linearsystems?
• List as many things that are equivalent to a square matrixbeing nonsingular as you can.
• List as many things that are equivalent to a square matrixbeing singular as you can. (Should be basically the same as yourlist above except all opposites) • Give an example of a singularmatrix that is NOT just the zero matrix.
• If a system has m equations and n unknowns where m < n,what are the possibilities for number of solutions to thesystem?
• Rephrase the question above, and your answer to it, in termsof the rank of the coefficient matrix for the system.
