# Monthly Archives: August 2013

## Linear Algebra and Its Applications, Exercise 2.6.15

Exercise 2.6.15. Suppose that is a linear transformation from to itself, or more generally from any vector space to itself. Show that is also a linear transformation. Answer: If is a linear transformation from some vector space to itself then … Continue reading

## Linear Algebra and Its Applications, Exercise 2.6.14

Exercise 2.6.14. Suppose that , , and are linear transformations, with taking vectors from to , taking vectors from to , and  taking vectors from to . Consider the product of these transformations. It starts with a vector in and … Continue reading