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2.7

7. True or False

a. The block matrix [0 A / A 0 ] is automatically symmetric.

If it's symmetric along it's diagonal, A = A^T. So why isn't this true? It also holds true for a 3 x 3.

b. If A and B are symmetric then their product AB is symmetric.

Seems like it to me.

c. If A is not symmetric then A^-1 is not symmetric.

Yay, got 1 right :p

d. When A, B, C are symmetric, the transpose of ABC is CBA.

Hmm ... I did all that work and wrong? I want to sleep!

Ok, I got all these wrong except c. I kinda figured when I got True for all. LOL, someone plz help me :)

http://img159.imageshack.us/img159/1653/linearalgebra001ku8.jpg [Broken]

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# Homework Help: Linear Algebra, Strang 2.7

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