1.  Suppose you are given a system of linear equations. What are the advantages and disadvantages of using the substitution and elimination methods to solve the system

 

2.  In algebra, you learned that the product of a number and its reciprocal is 1. The same is true in matrix algebra. Under what conditions will a matrix have an inverse such that their product is the identity matrix?

 

3.  Given any system of two linear equations in two unknowns, and using either the addition or the substitution method, how can you determine when the system is inconsistent or dependent?

 

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