0 0 1 0 1 0 1 0 0 a) Find the QDQT factorization (spectral decomposition) of A. Let A = 0 0 0 1 0 1 0 0 , D = and -1 0 0 b) The two best rank 1 approximations to A are 0 0 1 0 0 1

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2. Consider A = a. [2²₂2 =3) -2 Find the spectral decomposition of A. Show your work. b. Make a diagram showing the spectral decomposition of A as applied to the vector x = [13]. That is, show how Ax is a sum of the scaled projections of x on the two eigenspaces. (This is similar to the diagram that was made in the lecture.)

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