C let a be an n n matrix if a j 0 for some integer j

• Notes
• 7

This preview shows page 7. Sign up to view the full content.

c) Let A be an n × n matrix. If A j = 0 for some integer j (perhaps j > n ), show that A n = 0. 2-B Let V be a linear space and L : V V a linear map. a) Show that im L 2 im L , that is, if vector b is in the image of L 2 , then vector b is also in the image of L . b) Give and example of a 2 × 2 matrix L where im L negationslash⊂ im L 2 . [Last revised: February 7, 2013] 7
You've reached the end of this preview.
• Fall '12
• JerryKazdan

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern