91Ó°ÊÓ

The process of solving a linear system in three variables using Cramer's Rule can involve tedious computation. Is there a way of speeding up this process, perhaps using Cramer's Rule to find the value for only one of the variables? Describe how this process might work, presenting a specific example with your description. Remember that your goal is still to find the value for each variable in the system.

Describe matrices that cannot be added or subtracted.

Describe when the multiplication of two matrices is not defined.

Give an example of a \(2 \times 2\) matrix that is its own inverse.