Question: You are given a matrix A and you know that A = XDX , or , equivalently, AX = XD , where 6 1 3

You are given a matrix A and you know that A = XDX, or, equivalently, AX = XD, where 6133 X =13913861614007 D =090006 Assuming a random starting vector, if you run normalized power iteration on A, to what vector v does the process converge? Assume each iteration is normalized using the 1-norm. vT-[]? What vector V1 will normalized inverse iteration converge to when performed on A? Assume each iteration is normalized using the 1-norm. v1=[]? What vector v2 will normalized shifted inverse iteration, with a shift of 5.7, converge to when performed on A? Assume each iteration is normalized using the 1-norm. vt =[]?

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