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Help with math homework/Linear Algebra

http://i.imgur.com/7MEtkjv.jpg

How do I do questions 10,11, and 12?

For 10, M(T) is just the coefficients of the linear transformation T. Since the rows of M(T) are linearly independent, should that mean the basis is just the column vectors of the identity matrix? I'm not so clear on what diagonal means, just that D = CAC^-1, where D is a diagonal square matrix.

My current thoughts on this are: Take M(T), find the eigenvectors given the corresponding eigenvalues of M(T), take those vectors as the column vectors of C, and simply multiply CAC^-1 to find D, but then what the hell is bM(T)b?

11. Nope

12. Lolnope again.

May 20, 2013

2 Comments • Newest first

supernoob

@MostSwagNA: You actually finish matrices in less than a month or two. This is linear transformations/eigenvectors/eigenvalues.

I kind of regret taking this class, actually. Could've spent senior year relaxing some more.

Reply May 20, 2013
Sammi

Sucks to be in your shoes.

Reply May 20, 2013