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Linear Algebra Conceptual Questions • What are the possible sizes of solution sets for linear systems? • List...

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Advance Math

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.

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