Question: Numerical Analysis Consider 3 Matrix A whooe eigenvalues are A1 = ID, .12 = 5,,13 = 5, A4 = 1. Let s be a shift

Numerical Analysis

Consider 3 Matrix A whooe eigenvalues are A1 = ID, .12 = 5,,13 = 5, A4 = 1. Let s be a shift for the pmver method. Are any of the following True: I] The power method converges to A1 at a. rate of le. 2] The power method converges to Ag and A3 at a. rate of lfl 3] A shift of .5 = 11] {i.e the power method applied to A of] can be used to converge to In. 4]A shift can be used to converge to Jug and A3 at a rate *5: lf2

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