Question

Need help with linear algebra :)

Answer 1

Can someone help me with this problem:

Answer 2

http://en.wikipedia.org/wiki/Singular_value_decomposition

Answer 3

I cant spot the solution. Can you take me step-by-step?

Answer 4

I am confused here,
what do you mean by diagonalization of the quadratic form. I know completing square is equivalent to LU factorization, but what diagonalization?

Answer 5

do you need to diagonalize A?

Answer 6

It was at bad translation. It is square from.

Answer 7

could you elaborate?

Answer 8

I am confused about the problem. I think I should diagonalize Q.

Answer 9

Q is a quadratic form. it's a field ... how could you possibly diagonalize it.

Answer 10

http://planetmath.org/diagonalizationofquadraticform

Answer 11

make rotations such that xy term vanishes

Answer 12

http://www.wolframalpha.com/input/?i=SingularValueDecomposition%5B%7B%7B1%2C+2%2C+3%7D%2C+%7B2%2C+4%2C+6%7D%2C+%7B3%2C+6%2C+9%7D%7D%5D
should be 14x^2