Posted by **V** on Saturday, July 28, 2007 at 10:55pm.

Let A=

[7 -4 4]

[-4 5 0]

[4 0 9]

a) Orthogonally diagonalize A

b) Use answer from a) to construct a spectral decomposition for A.

c) Suppose that x=[1 2 1] and let u be the eigen vector from a) corresponding to the largest eigen-value of A. If W=Span {u}, then use b) to decompose x into a sum of vectors, one in W and the other in W¡Í.

## Answer This Question

## Related Questions

- chemistry - Identify which of the following function are Eigen functions of the ...
- Linear Algebra - Hi, well I have the next question: How can I show that the sum ...
- Art - What advantage does multi-spectral analysis hold over the X-ray machine? A...
- Art - What advantage does multi-spectral analysis hold over the X-ray Machine? a...
- science - 1 What is a set of real or complex numbers or elements arranged in ...
- math - Suppose the matrix A has eigenvalues lambda_1 = -1, lambda_2 = 1, ...
- Art - Advanced Art Preservation 1) What advantage does multi-spectral analysis ...
- chemistry - Suppose you do not know the enthalpy of decomposition of the process...
- maths - The points of intersection of two equal circles which cut orthogonally ...
- Art - What technology would be best to use when analyzing the pigments in a ...

More Related Questions