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Consider the n × n, nonsingular matrix, a. the frobenius norm of a is given by ! 1/2 n x i=1 ! 1/2 kak = x i, j 2 f |a i, j | = σ 2 i , where the σ i ’s are the singular values of a. (a) construct the perturbation, δa, with smallest frobenius norm such that a − δa is singular. what is the frobenius norm of this special δa?
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Consider the n × n, nonsingular matrix, a. the frobenius norm of a is given by ! 1/2 n x i=1 ! 1/2...
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