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Consider the matrix B =          −1 1...

Consider the matrix B =         

−1 1 1 2

−1 1 0 3

−2 2 1 −4          

(a) Find ||B||F.

(b) It can be shown (See Saito, Lecture Notes, 5.7) that the 1-norm of a matrix A ∈ Rm×n can be written as ||A||1 = max 1≤j≤n||aj||1 whereaj is the jth column of A. Find||B||1.

(c) Find ||B||2.

(d) It can be shown (See Saito, Lecture Notes, 5.9) that the ∞-norm of a matrix A ∈ Rm×n can be written as kAk∞ = max

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milcah answered 1 year ago
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