Zero Determinant

Let A and B be two 3 \times 3 matrices with complex entries, such that A^2 = AB + BA. Prove that \det (AB-BA) = 0.

(Credits: I learnt of this problem from this link.)

Advertisements
This entry was posted in Random and tagged . Bookmark the permalink.

Leave a Reply

Please log in using one of these methods to post your comment:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s