Exercises — Systems of linear equations

All the worked exercises of the chapter, in order of appearance in the book: solving a system by substitution, computing with $2\times 2$ matrices (power, inverse, properties of the product), solving a $3\times 3$ system with Gauss’s method and discussing a system as a parameter varies.

• System solved by substitution
• Square and inverse of a 2x2 matrix
• Verification that (AB) inverse equals B inverse times A inverse
• Solving a 3x3 system with Gauss
• Discussion of a system as k varies